28307328940800 has 3024 divisors, whose sum is σ = 131531505208768. Its totient is φ = 5869250150400.

The previous prime is 28307328940799. The next prime is 28307328940817. The reversal of 28307328940800 is 804982370382.

28307328940800 is a `hidden beast` number, since 2 + 8 + 307 + 328 + 9 + 4 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 25898745054 + ... + 25898746146.

Almost surely, 2^{28307328940800} is an apocalyptic number.

28307328940800 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 28307328940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65765752604384).

28307328940800 is an abundant number, since it is smaller than the sum of its proper divisors (103224176267968).

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

28307328940800 is a wasteful number, since it uses less digits than its factorization.

28307328940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 28307328940800 in words is "twenty-eight trillion, three hundred seven billion, three hundred twenty-eight million, nine hundred forty thousand, eight hundred".