28766107238400 has 1920 divisors, whose sum is σ = 128991540173760. Its totient is φ = 6186640343040.

The previous prime is 28766107238381. The next prime is 28766107238419. The reversal of 28766107238400 is 483270166782.

28766107238400 is a `hidden beast` number, since 2 + 87 + 6 + 61 + 0 + 72 + 38 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (28766107238381) and next prime (28766107238419).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×28766107238400³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 119 ways as a sum of consecutive naturals, for example, 7896266979 + ... + 7896270621.

Almost surely, 2^{28766107238400} is an apocalyptic number.

28766107238400 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 28766107238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64495770086880).

28766107238400 is an abundant number, since it is smaller than the sum of its proper divisors (100225432935360).

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

28766107238400 is an equidigital number, since it uses as much as digits as its factorization.

28766107238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3719 (or 3677 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 28766107238400 in words is "twenty-eight trillion, seven hundred sixty-six billion, one hundred seven million, two hundred thirty-eight thousand, four hundred".