28257007577600 has 180 divisors, whose sum is σ = 70159479659742. Its totient is φ = 11278551244800.

The previous prime is 28257007577599. The next prime is 28257007577609. The reversal of 28257007577600 is 677570075282.

It can be written as a sum of positive squares in 3 ways, for example, as 15367528980736 + 12889478596864 = 3920144^2 + 3590192^2 .

It is not an unprimeable number, because it can be changed into a prime (28257007577609) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3085832222 + ... + 3085841378.

Almost surely, 2^{28257007577600} is an apocalyptic number.

28257007577600 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 28257007577600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35079739829871).

28257007577600 is an abundant number, since it is smaller than the sum of its proper divisors (41902472082142).

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

28257007577600 is an frugal number, since it uses more digits than its factorization.

28257007577600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10167 (or 9655 counting only the distinct ones).

The product of its (nonzero) digits is 11524800, while the sum is 56.

The spelling of 28257007577600 in words is "twenty-eight trillion, two hundred fifty-seven billion, seven million, five hundred seventy-seven thousand, six hundred".