28516262400 has 360 divisors, whose sum is σ = 108062301204. Its totient is φ = 7156531200.

The previous prime is 28516262387. The next prime is 28516262407. The reversal of 28516262400 is 426261582.

It is a happy number.

28516262400 is a `hidden beast` number, since 2 + 8 + 5 + 1 + 626 + 24 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 20639344896 + 7876917504 = 143664^2 + 88752^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28516262407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1951120 + ... + 1965680.

Almost surely, 2^28516262400 is an apocalyptic number.

28516262400 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 28516262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54031150602).

28516262400 is an abundant number, since it is smaller than the sum of its proper divisors (79546038804).

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

28516262400 is a wasteful number, since it uses less digits than its factorization.

28516262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14612 (or 14588 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 28516262400 in words is "twenty-eight billion, five hundred sixteen million, two hundred sixty-two thousand, four hundred".