28706054400 has 432 divisors, whose sum is σ = 105822949120. Its totient is φ = 7614259200.

The previous prime is 28706054357. The next prime is 28706054413. The reversal of 28706054400 is 445060782.

28706054400 is a `hidden beast` number, since 2 + 8 + 7 + 0 + 605 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

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 47 ways as a sum of consecutive naturals, for example, 46828494 + ... + 46829106.

Almost surely, 2^28706054400 is an apocalyptic number.

28706054400 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 28706054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52911474560).

28706054400 is an abundant number, since it is smaller than the sum of its proper divisors (77116894720).

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

28706054400 is a wasteful number, since it uses less digits than its factorization.

28706054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 28706054400 in words is "twenty-eight billion, seven hundred six million, fifty-four thousand, four hundred".