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28378747452 = 22311415878933
BaseRepresentation
bin11010011011100000…
…010101001000111100
32201020202121201222110
4122123200111020330
5431104424404302
621011555014020
72023152242016
oct323340251074
981222551873
1028378747452
1111043076aa0
1255bbb9a310
1328a352aa73
141532dc11b6
15b1162cb6c
hex69b81523c

28378747452 has 96 divisors (see below), whose sum is σ = 74133045504. Its totient is φ = 8374643200.

The previous prime is 28378747417. The next prime is 28378747483. The reversal of 28378747452 is 25474787382.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 28378747392 and 28378747401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3172378 + ... + 3181310.

It is an arithmetic number, because the mean of its divisors is an integer number (772219224).

Almost surely, 228378747452 is an apocalyptic number.

28378747452 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28378747452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37066522752).

28378747452 is an abundant number, since it is smaller than the sum of its proper divisors (45754298052).

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

28378747452 is a wasteful number, since it uses less digits than its factorization.

28378747452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9579 (or 9577 counting only the distinct ones).

The product of its digits is 21073920, while the sum is 57.

The spelling of 28378747452 in words is "twenty-eight billion, three hundred seventy-eight million, seven hundred forty-seven thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 587 902 1174 1353 1761 1804 2348 2706 3522 5412 6457 7044 8933 12914 17866 19371 24067 25828 26799 35732 38742 48134 53598 72201 77484 96268 98263 107196 144402 196526 264737 288804 294789 366253 393052 529474 589578 732506 794211 1058948 1098759 1179156 1465012 1588422 2197518 3176844 4028783 4395036 5243671 8057566 10487342 12086349 15731013 16115132 20974684 24172698 31462026 48345396 57680381 62924052 115360762 173041143 214990511 230721524 346082286 429981022 644971533 692164572 859962044 1289943066 2364895621 2579886132 4729791242 7094686863 9459582484 14189373726 28378747452