28776537600 has 240 divisors, whose sum is σ = 98343281520. Its totient is φ = 7408844800.

The previous prime is 28776537593. The next prime is 28776537613. The reversal of 28776537600 is 673567782.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1100680 + ... + 1126520.

It is an arithmetic number, because the mean of its divisors is an integer number (409763673).

Almost surely, 2^28776537600 is an apocalyptic number.

28776537600 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 28776537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49171640760).

28776537600 is an abundant number, since it is smaller than the sum of its proper divisors (69566743920).

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

28776537600 is a wasteful number, since it uses less digits than its factorization.

28776537600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25901 (or 25880 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 51.

The spelling of 28776537600 in words is "twenty-eight billion, seven hundred seventy-six million, five hundred thirty-seven thousand, six hundred".