28475830656 has 576 divisors, whose sum is σ = 103936865760. Its totient is φ = 7285800960.

The previous prime is 28475830633. The next prime is 28475830657. The reversal of 28475830656 is 65603857482.

28475830656 is a `hidden beast` number, since 2 + 8 + 4 + 7 + 583 + 0 + 6 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28475830657) 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 71 ways as a sum of consecutive naturals, for example, 390079836 + ... + 390079908.

Almost surely, 2^28475830656 is an apocalyptic number.

28475830656 is a gapful number since it is divisible by the number (26) 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 28475830656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51968432880).

28475830656 is an abundant number, since it is smaller than the sum of its proper divisors (75461035104).

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

28475830656 is a wasteful number, since it uses less digits than its factorization.

28475830656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 28475830656 in words is "twenty-eight billion, four hundred seventy-five million, eight hundred thirty thousand, six hundred fifty-six".