28079654400 has 1200 divisors, whose sum is σ = 122669943264. Its totient is φ = 6210846720.

The previous prime is 28079654399. The next prime is 28079654411. The reversal of 28079654400 is 445697082.

It is a happy number.

28079654400 is a `hidden beast` number, since 2 + 80 + 79 + 65 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 384652764 + ... + 384652836.

Almost surely, 2^28079654400 is an apocalyptic number.

28079654400 is a gapful number since it is divisible by the number (20) 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 28079654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61334971632).

28079654400 is an abundant number, since it is smaller than the sum of its proper divisors (94590288864).

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

28079654400 is an equidigital number, since it uses as much as digits as its factorization.

28079654400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 28079654400 in words is "twenty-eight billion, seventy-nine million, six hundred fifty-four thousand, four hundred".