28242732600 has 144 divisors (see below), whose sum is σ = 94961968920. Its totient is φ = 7522387200.

The previous prime is 28242732577. The next prime is 28242732607. The reversal of 28242732600 is 623724282.

It is a happy number.

28242732600 is a `hidden beast` number, since 2 + 8 + 2 + 42 + 7 + 3 + 2 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28242732607) 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, 1569655 + ... + 1587545.

Almost surely, 2^28242732600 is an apocalyptic number.

28242732600 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 28242732600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47480984460).

28242732600 is an abundant number, since it is smaller than the sum of its proper divisors (66719236320).

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

28242732600 is a wasteful number, since it uses less digits than its factorization.

28242732600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18790 (or 18778 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 28242732600 in words is "twenty-eight billion, two hundred forty-two million, seven hundred thirty-two thousand, six hundred".