28245793976400 has 5760 divisors, whose sum is σ = 137958530088960. Its totient is φ = 4774588416000.

The previous prime is 28245793976357. The next prime is 28245793976429. The reversal of 28245793976400 is 467939754282.

It is a Harshad number since it is a multiple of its sum of digits (66).

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 1151 ways as a sum of consecutive naturals, for example, 340310770759 + ... + 340310770841.

It is an arithmetic number, because the mean of its divisors is an integer number (23951133696).

Almost surely, 2^{28245793976400} is an apocalyptic number.

28245793976400 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 28245793976400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68979265044480).

28245793976400 is an abundant number, since it is smaller than the sum of its proper divisors (109712736112560).

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

28245793976400 is a wasteful number, since it uses less digits than its factorization.

28245793976400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 66.

The spelling of 28245793976400 in words is "twenty-eight trillion, two hundred forty-five billion, seven hundred ninety-three million, nine hundred seventy-six thousand, four hundred".