28112368435200 has 2052 divisors, whose sum is σ = 119663189382672. Its totient is φ = 6288939417600.

The previous prime is 28112368435133. The next prime is 28112368435219. The reversal of 28112368435200 is 253486321182.

28112368435200 is a `hidden beast` number, since 2 + 8 + 1 + 1 + 2 + 3 + 6 + 8 + 435 + 200 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 205199769532 + ... + 205199769668.

It is an arithmetic number, because the mean of its divisors is an integer number (58315394436).

Almost surely, 2^{28112368435200} is an apocalyptic number.

28112368435200 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 28112368435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59831594691336).

28112368435200 is an abundant number, since it is smaller than the sum of its proper divisors (91550820947472).

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

28112368435200 is an equidigital number, since it uses as much as digits as its factorization.

28112368435200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 28112368435200 in words is "twenty-eight trillion, one hundred twelve billion, three hundred sixty-eight million, four hundred thirty-five thousand, two hundred".