28010999822400 has 1512 divisors, whose sum is σ = 121774996292040. Its totient is φ = 6080126976000.

The previous prime is 28010999822363. The next prime is 28010999822467. The reversal of 28010999822400 is 422899901082.

28010999822400 is a `hidden beast` number, since 28 + 0 + 109 + 9 + 98 + 22 + 400 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 22854212849664 + 5156786972736 = 4780608^2 + 2270856^2 .

It is a super-2 number, since 2×28010999822400² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1248195180 + ... + 1248217620.

Almost surely, 2^{28010999822400} is an apocalyptic number.

28010999822400 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 28010999822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60887498146020).

28010999822400 is an abundant number, since it is smaller than the sum of its proper divisors (93763996469640).

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

28010999822400 is a wasteful number, since it uses less digits than its factorization.

28010999822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22573 (or 22548 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 28010999822400 in words is "twenty-eight trillion, ten billion, nine hundred ninety-nine million, eight hundred twenty-two thousand, four hundred".