28390812735600 has 960 divisors, whose sum is σ = 118866566656000. Its totient is φ = 6302068531200.

The previous prime is 28390812735599. The next prime is 28390812735641. The reversal of 28390812735600 is 653721809382.

28390812735600 is a `hidden beast` number, since 2 + 8 + 3 + 9 + 0 + 8 + 1 + 2 + 73 + 560 + 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 (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 364277436 + ... + 364355364.

Almost surely, 2^{28390812735600} is an apocalyptic number.

28390812735600 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 28390812735600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59433283328000).

28390812735600 is an abundant number, since it is smaller than the sum of its proper divisors (90475753920400).

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

28390812735600 is a wasteful number, since it uses less digits than its factorization.

28390812735600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78103 (or 78086 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 28390812735600 in words is "twenty-eight trillion, three hundred ninety billion, eight hundred twelve million, seven hundred thirty-five thousand, six hundred".