28074513600 has 672 divisors, whose sum is σ = 117739607040. Its totient is φ = 6374522880.

The previous prime is 28074513583. The next prime is 28074513611. The reversal of 28074513600 is 631547082.

28074513600 is a `hidden beast` number, since 2 + 8 + 0 + 7 + 45 + 1 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

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, 79531024 + ... + 79531376.

Almost surely, 2^28074513600 is an apocalyptic number.

28074513600 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 28074513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58869803520).

28074513600 is an abundant number, since it is smaller than the sum of its proper divisors (89665093440).

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

28074513600 is a wasteful number, since it uses less digits than its factorization.

28074513600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 28074513600 in words is "twenty-eight billion, seventy-four million, five hundred thirteen thousand, six hundred".