28368416138400 has 576 divisors, whose sum is σ = 116306699644800. Its totient is φ = 6615467458560.

The previous prime is 28368416138399. The next prime is 28368416138423. The reversal of 28368416138400 is 483161486382.

It is a happy number.

28368416138400 is a `hidden beast` number, since 2 + 8 + 3 + 68 + 41 + 6 + 138 + 400 = 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, 2676592 + ... + 7993808.

It is an arithmetic number, because the mean of its divisors is an integer number (201921353550).

Almost surely, 2^{28368416138400} is an apocalyptic number.

28368416138400 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 28368416138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58153349822400).

28368416138400 is an abundant number, since it is smaller than the sum of its proper divisors (87938283506400).

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

28368416138400 is a wasteful number, since it uses less digits than its factorization.

28368416138400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5317278 (or 5317259 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 28368416138400 in words is "twenty-eight trillion, three hundred sixty-eight billion, four hundred sixteen million, one hundred thirty-eight thousand, four hundred".