28501790688 has 72 divisors (see below), whose sum is σ = 92630826288. Its totient is φ = 8143368192.

The previous prime is 28501790677. The next prime is 28501790689. The reversal of 28501790688 is 88609710582.

28501790688 is a `hidden beast` number, since 2 + 8 + 501 + 79 + 0 + 68 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28501790689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7066881 + ... + 7070912.

It is an arithmetic number, because the mean of its divisors is an integer number (1286539254).

Almost surely, 2^28501790688 is an apocalyptic number.

28501790688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

28501790688 is an abundant number, since it is smaller than the sum of its proper divisors (64129035600).

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

28501790688 is a wasteful number, since it uses less digits than its factorization.

28501790688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14137816 (or 14137805 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 28501790688 in words is "twenty-eight billion, five hundred one million, seven hundred ninety thousand, six hundred eighty-eight".