28074866765400 has 4320 divisors, whose sum is σ = 133755521130000. Its totient is φ = 5394254745600.

The previous prime is 28074866765353. The next prime is 28074866765401. The reversal of 28074866765400 is 456766847082.

28074866765400 is a `hidden beast` number, since 2 + 8 + 0 + 7 + 4 + 86 + 6 + 7 + 6 + 540 + 0 = 666.

It is a super-2 number, since 2×28074866765400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28074866765401) by changing a digit.

It is a polite number, since it can be written in 1079 ways as a sum of consecutive naturals, for example, 188421924526 + ... + 188421924674.

Almost surely, 2^{28074866765400} is an apocalyptic number.

28074866765400 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 28074866765400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66877760565000).

28074866765400 is an abundant number, since it is smaller than the sum of its proper divisors (105680654364600).

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

28074866765400 is a wasteful number, since it uses less digits than its factorization.

28074866765400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 28074866765400 in words is "twenty-eight trillion, seventy-four billion, eight hundred sixty-six million, seven hundred sixty-five thousand, four hundred".