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28380137778 = 23319193251571
BaseRepresentation
bin11010011011100101…
…101000100100110010
32201020212020101011000
4122123211220210302
5431110303402103
621012044502430
72023200122316
oct323345504462
981225211130
1028380137778
1111043936623
12560054aa16
1328a38c6845
141533263b46
15b11804aa3
hex69b968932

28380137778 has 128 divisors (see below), whose sum is σ = 67113446400. Its totient is φ = 8864640000.

The previous prime is 28380137777. The next prime is 28380137843. The reversal of 28380137778 is 87773108382.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (28380137771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49702233 + ... + 49702803.

It is an arithmetic number, because the mean of its divisors is an integer number (524323800).

Almost surely, 228380137778 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28380137778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33556723200).

28380137778 is an abundant number, since it is smaller than the sum of its proper divisors (38733308622).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28380137778 is a wasteful number, since it uses less digits than its factorization.

28380137778 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 28380137778 in words is "twenty-eight billion, three hundred eighty million, one hundred thirty-seven thousand, seven hundred seventy-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 193 251 342 386 502 513 571 579 753 1026 1142 1158 1506 1713 1737 2259 3426 3474 3667 4518 4769 5139 5211 6777 7334 9538 10278 10422 10849 11001 13554 14307 15417 21698 22002 28614 30834 32547 33003 42921 48443 65094 66006 85842 96886 97641 99009 110203 128763 143321 145329 195282 198018 220406 257526 286642 290658 292923 330609 429963 435987 585846 661218 859926 871974 920417 991827 1289889 1307961 1840834 1983654 2093857 2579778 2615922 2723099 2761251 2975481 3869667 4187714 5446198 5522502 5950962 6281571 7739334 8169297 8283753 12563142 16338594 16567506 18844713 24507891 24851259 27660953 37689426 49015782 49702518 55321906 56534139 73523673 82982859 113068278 147047346 165965718 248948577 497897154 525558107 746845731 1051116214 1493691462 1576674321 3153348642 4730022963 9460045926 14190068889 28380137778