28460106086400 has 720 divisors, whose sum is σ = 109993587303600. Its totient is φ = 7259365048320.

The previous prime is 28460106086389. The next prime is 28460106086519. The reversal of 28460106086400 is 468060106482.

28460106086400 is a `hidden beast` number, since 2 + 8 + 4 + 60 + 106 + 0 + 86 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 95236416 + ... + 95534784.

It is an arithmetic number, because the mean of its divisors is an integer number (152768871255).

Almost surely, 2^{28460106086400} is an apocalyptic number.

28460106086400 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 28460106086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54996793651800).

28460106086400 is an abundant number, since it is smaller than the sum of its proper divisors (81533481217200).

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

28460106086400 is a wasteful number, since it uses less digits than its factorization.

28460106086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298436 (or 298402 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 28460106086400 in words is "twenty-eight trillion, four hundred sixty billion, one hundred six million, eighty-six thousand, four hundred".