28290120566400 has 3072 divisors, whose sum is σ = 141100683264000. Its totient is φ = 5353537536000.

The previous prime is 28290120566387. The next prime is 28290120566413. The reversal of 28290120566400 is 466502109282.

28290120566400 is a `hidden beast` number, since 2 + 8 + 29 + 0 + 1 + 20 + 566 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28290120566387) and next prime (28290120566413).

It is a super-2 number, since 2×28290120566400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3506021566 + ... + 3506029634.

It is an arithmetic number, because the mean of its divisors is an integer number (45931212000).

Almost surely, 2^{28290120566400} is an apocalyptic number.

28290120566400 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 28290120566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70550341632000).

28290120566400 is an abundant number, since it is smaller than the sum of its proper divisors (112810562697600).

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

28290120566400 is a wasteful number, since it uses less digits than its factorization.

28290120566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8168 (or 8145 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 28290120566400 in words is "twenty-eight trillion, two hundred ninety billion, one hundred twenty million, five hundred sixty-six thousand, four hundred".