28337734656 has 1232 divisors, whose sum is σ = 115985312640. Its totient is φ = 6688604160.

The previous prime is 28337734651. The next prime is 28337734717. The reversal of 28337734656 is 65643773382.

28337734656 is a `hidden beast` number, since 2 + 83 + 37 + 73 + 465 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1232).

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 (28337734651) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 977163250 + ... + 977163278.

Almost surely, 2^28337734656 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 28337734656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57992656320).

28337734656 is an abundant number, since it is smaller than the sum of its proper divisors (87647577984).

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

28337734656 is a wasteful number, since it uses less digits than its factorization.

28337734656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 69 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 54.

The spelling of 28337734656 in words is "twenty-eight billion, three hundred thirty-seven million, seven hundred thirty-four thousand, six hundred fifty-six".