28838460672 has 576 divisors, whose sum is σ = 101781388800. Its totient is φ = 7882997760.

The previous prime is 28838460667. The next prime is 28838460683. The reversal of 28838460672 is 27606483882.

28838460672 is a `hidden beast` number, since 2 + 88 + 38 + 460 + 6 + 72 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 159328422 + ... + 159328602.

It is an arithmetic number, because the mean of its divisors is an integer number (176703800).

Almost surely, 2^28838460672 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 28838460672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50890694400).

28838460672 is an abundant number, since it is smaller than the sum of its proper divisors (72942928128).

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

28838460672 is a wasteful number, since it uses less digits than its factorization.

28838460672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 28838460672 in words is "twenty-eight billion, eight hundred thirty-eight million, four hundred sixty thousand, six hundred seventy-two".