28777132800 has 324 divisors, whose sum is σ = 110801838784. Its totient is φ = 7083417600.

The previous prime is 28777132793. The next prime is 28777132829. The reversal of 28777132800 is 823177782.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 729585 + ... + 768015.

Almost surely, 2^28777132800 is an apocalyptic number.

28777132800 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 28777132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55400919392).

28777132800 is an abundant number, since it is smaller than the sum of its proper divisors (82024705984).

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

28777132800 is a wasteful number, since it uses less digits than its factorization.

28777132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38476 (or 38454 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 28777132800 in words is "twenty-eight billion, seven hundred seventy-seven million, one hundred thirty-two thousand, eight hundred".