28400004864 has 864 divisors, whose sum is σ = 108923942400. Its totient is φ = 7376624640.

The previous prime is 28400004851. The next prime is 28400004887. The reversal of 28400004864 is 46840000482.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2581818619 + ... + 2581818629.

Almost surely, 2^28400004864 is an apocalyptic number.

28400004864 is a gapful number since it is divisible by the number (24) 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 28400004864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54461971200).

28400004864 is an abundant number, since it is smaller than the sum of its proper divisors (80523937536).

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

28400004864 is an frugal number, since it uses more digits than its factorization.

28400004864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

28400004864 divided by its sum of digits (36) gives a cube (788889024 = 924³).

The spelling of 28400004864 in words is "twenty-eight billion, four hundred million, four thousand, eight hundred sixty-four".