28069680038400 has 3840 divisors, whose sum is σ = 141778725580800. Its totient is φ = 5250023424000.

The previous prime is 28069680038399. The next prime is 28069680038419. The reversal of 28069680038400 is 483008696082.

It is a tau number, because it is divible by the number of its divisors (3840).

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

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 383 ways as a sum of consecutive naturals, for example, 14183768611 + ... + 14183770589.

It is an arithmetic number, because the mean of its divisors is an integer number (36921543120).

Almost surely, 2^{28069680038400} is an apocalyptic number.

28069680038400 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 28069680038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70889362790400).

28069680038400 is an abundant number, since it is smaller than the sum of its proper divisors (113709045542400).

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

28069680038400 is a wasteful number, since it uses less digits than its factorization.

28069680038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 28069680038400 in words is "twenty-eight trillion, sixty-nine billion, six hundred eighty million, thirty-eight thousand, four hundred".