28825238534400 has 6048 divisors, whose sum is σ = 145206686177280. Its totient is φ = 5482266624000.

The previous prime is 28825238534371. The next prime is 28825238534401. The reversal of 28825238534400 is 443583252882.

28825238534400 is a `hidden beast` number, since 2 + 8 + 8 + 2 + 523 + 85 + 34 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (28825238534401) by changing a digit.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 279856684749 + ... + 279856684851.

Almost surely, 2^{28825238534400} is an apocalyptic number.

28825238534400 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 28825238534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72603343088640).

28825238534400 is an abundant number, since it is smaller than the sum of its proper divisors (116381447642880).

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

28825238534400 is a wasteful number, since it uses less digits than its factorization.

28825238534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 28825238534400 in words is "twenty-eight trillion, eight hundred twenty-five billion, two hundred thirty-eight million, five hundred thirty-four thousand, four hundred".