28015706294400 has 3072 divisors, whose sum is σ = 117103076352000. Its totient is φ = 5796790272000.

The previous prime is 28015706294333. The next prime is 28015706294413. The reversal of 28015706294400 is 449260751082.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 28015706294400.

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, 99700022260 + ... + 99700022540.

It is an arithmetic number, because the mean of its divisors is an integer number (38119491000).

Almost surely, 2^{28015706294400} is an apocalyptic number.

28015706294400 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 28015706294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58551538176000).

28015706294400 is an abundant number, since it is smaller than the sum of its proper divisors (89087370057600).

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

28015706294400 is a wasteful number, since it uses less digits than its factorization.

28015706294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 28015706294400 in words is "twenty-eight trillion, fifteen billion, seven hundred six million, two hundred ninety-four thousand, four hundred".