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28778004 = 223671139
BaseRepresentation
bin110110111000…
…1111000010100
32000011002000000
41231301320110
524331344004
62504451300
7466415613
oct155617024
960132000
1028778004
1115276382
129779b30
135c67a08
143b7187a
1527d6c39
hex1b71e14

28778004 has 84 divisors (see below), whose sum is σ = 77122080. Its totient is φ = 9389520.

The previous prime is 28778003. The next prime is 28778011. The reversal of 28778004 is 40087782.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 28778004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28778003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 206967 + ... + 207105.

It is an arithmetic number, because the mean of its divisors is an integer number (918120).

Almost surely, 228778004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28778004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38561040).

28778004 is an abundant number, since it is smaller than the sum of its proper divisors (48344076).

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

28778004 is a wasteful number, since it uses less digits than its factorization.

28778004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 28778004 is about 5364.5133982496. The cubic root of 28778004 is about 306.4457172385.

The spelling of 28778004 in words is "twenty-eight million, seven hundred seventy-eight thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 81 108 139 142 162 213 243 278 284 324 417 426 486 556 639 729 834 852 972 1251 1278 1458 1668 1917 2502 2556 2916 3753 3834 5004 5751 7506 7668 9869 11259 11502 15012 17253 19738 22518 23004 29607 33777 34506 39476 45036 51759 59214 67554 69012 88821 101331 103518 118428 135108 177642 202662 207036 266463 355284 405324 532926 799389 1065852 1598778 2398167 3197556 4796334 7194501 9592668 14389002 28778004