28658073600 has 864 divisors, whose sum is σ = 115995377160. Its totient is φ = 6747586560.

The previous prime is 28658073593. The next prime is 28658073611. The reversal of 28658073600 is 637085682.

28658073600 is a `hidden beast` number, since 2 + 8 + 6 + 580 + 7 + 3 + 60 + 0 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1246003189 + ... + 1246003211.

Almost surely, 2^28658073600 is an apocalyptic number.

28658073600 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 28658073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57997688580).

28658073600 is an abundant number, since it is smaller than the sum of its proper divisors (87337303560).

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

28658073600 is a wasteful number, since it uses less digits than its factorization.

28658073600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 28658073600 in words is "twenty-eight billion, six hundred fifty-eight million, seventy-three thousand, six hundred".