28240617600 has 1440 divisors, whose sum is σ = 123331754700. Its totient is φ = 6317015040.

The previous prime is 28240617593. The next prime is 28240617701. The reversal of 28240617600 is 671604282.

28240617600 is a `hidden beast` number, since 2 + 8 + 2 + 40 + 6 + 1 + 7 + 600 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 24681024 + 28215936576 = 4968^2 + 167976^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 973814386 + ... + 973814414.

Almost surely, 2^28240617600 is an apocalyptic number.

28240617600 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 28240617600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61665877350).

28240617600 is an abundant number, since it is smaller than the sum of its proper divisors (95091137100).

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

28240617600 is a wasteful number, since it uses less digits than its factorization.

28240617600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 28240617600 in words is "twenty-eight billion, two hundred forty million, six hundred seventeen thousand, six hundred".