28311965942400 has 768 divisors, whose sum is σ = 118480109644800. Its totient is φ = 6467798937600.

The previous prime is 28311965942387. The next prime is 28311965942443. The reversal of 28311965942400 is 424956911382.

It is a happy number.

28311965942400 is a `hidden beast` number, since 2 + 8 + 3 + 1 + 1 + 9 + 6 + 594 + 2 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1211402715 + ... + 1211426085.

It is an arithmetic number, because the mean of its divisors is an integer number (154270976100).

Almost surely, 2^{28311965942400} is an apocalyptic number.

28311965942400 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 28311965942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59240054822400).

28311965942400 is an abundant number, since it is smaller than the sum of its proper divisors (90168143702400).

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

28311965942400 is a wasteful number, since it uses less digits than its factorization.

28311965942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25414 (or 25391 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 28311965942400 in words is "twenty-eight trillion, three hundred eleven billion, nine hundred sixty-five million, nine hundred forty-two thousand, four hundred".