28897844882400 has 1152 divisors, whose sum is σ = 115211366000640. Its totient is φ = 6947250094080.

The previous prime is 28897844882351. The next prime is 28897844882419. The reversal of 28897844882400 is 428844879882.

28897844882400 is a `hidden beast` number, since 28 + 8 + 9 + 7 + 84 + 48 + 82 + 400 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2111328357 + ... + 2111342043.

It is an arithmetic number, because the mean of its divisors is an integer number (100009866320).

Almost surely, 2^{28897844882400} is an apocalyptic number.

28897844882400 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 28897844882400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57605683000320).

28897844882400 is an abundant number, since it is smaller than the sum of its proper divisors (86313521118240).

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

28897844882400 is a wasteful number, since it uses less digits than its factorization.

28897844882400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13905 (or 13886 counting only the distinct ones).

The product of its (nonzero) digits is 528482304, while the sum is 72.

The spelling of 28897844882400 in words is "twenty-eight trillion, eight hundred ninety-seven billion, eight hundred forty-four million, eight hundred eighty-two thousand, four hundred".