28979596800 has 1440 divisors, whose sum is σ = 135197846784. Its totient is φ = 6021734400.

The previous prime is 28979596799. The next prime is 28979596829. The reversal of 28979596800 is 869597982.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2634508795 + ... + 2634508805.

Almost surely, 2^28979596800 is an apocalyptic number.

28979596800 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 28979596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67598923392).

28979596800 is an abundant number, since it is smaller than the sum of its proper divisors (106218249984).

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

28979596800 is an frugal number, since it uses more digits than its factorization.

28979596800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 28979596800 in words is "twenty-eight billion, nine hundred seventy-nine million, five hundred ninety-six thousand, eight hundred".