28045935590400 has 4752 divisors, whose sum is σ = 133640758777344. Its totient is φ = 5701557288960.

The previous prime is 28045935590371. The next prime is 28045935590419. The reversal of 28045935590400 is 409553954082.

28045935590400 is a `hidden beast` number, since 2 + 8 + 0 + 4 + 5 + 9 + 3 + 5 + 590 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 272290636749 + ... + 272290636851.

Almost surely, 2^{28045935590400} is an apocalyptic number.

28045935590400 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 28045935590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66820379388672).

28045935590400 is an abundant number, since it is smaller than the sum of its proper divisors (105594823186944).

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

28045935590400 is a wasteful number, since it uses less digits than its factorization.

28045935590400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 28045935590400 in words is "twenty-eight trillion, forty-five billion, nine hundred thirty-five million, five hundred ninety thousand, four hundred".