28996804800 has 504 divisors, whose sum is σ = 112673538432. Its totient is φ = 7041024000.

The previous prime is 28996804763. The next prime is 28996804843. The reversal of 28996804800 is 840869982.

28996804800 is a `hidden beast` number, since 2 + 89 + 9 + 6 + 80 + 480 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7586890 + ... + 7590710.

It is an arithmetic number, because the mean of its divisors is an integer number (223558608).

Almost surely, 2^28996804800 is an apocalyptic number.

28996804800 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 28996804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56336769216).

28996804800 is an abundant number, since it is smaller than the sum of its proper divisors (83676733632).

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

28996804800 is a wasteful number, since it uses less digits than its factorization.

28996804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3897 (or 3879 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 28996804800 in words is "twenty-eight billion, nine hundred ninety-six million, eight hundred four thousand, eight hundred".