28793595600 has 1620 divisors, whose sum is σ = 136381583520. Its totient is φ = 5588352000.

The previous prime is 28793595583. The next prime is 28793595613. The reversal of 28793595600 is 659539782.

28793595600 is a `hidden beast` number, since 2 + 8 + 79 + 3 + 5 + 9 + 560 + 0 = 666.

It is a super-2 number, since 2×28793595600² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 405543565 + ... + 405543635.

Almost surely, 2^28793595600 is an apocalyptic number.

28793595600 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 28793595600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68190791760).

28793595600 is an abundant number, since it is smaller than the sum of its proper divisors (107587987920).

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

28793595600 is a wasteful number, since it uses less digits than its factorization.

28793595600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 28793595600 in words is "twenty-eight billion, seven hundred ninety-three million, five hundred ninety-five thousand, six hundred".