28652125261824 has 195 divisors, whose sum is σ = 85601407687873. Its totient is φ = 9549680689152.

The previous prime is 28652125261801. The next prime is 28652125261831. The reversal of 28652125261824 is 42816252125682.

The square root of 28652125261824 is 5352768.

It is a perfect power (a square), and thus also a powerful number.

28652125261824 is a `hidden beast` number, since 2 + 8 + 6 + 5 + 2 + 12 + 5 + 2 + 618 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2182828953600 + 26469296308224 = 1477440^2 + 5144832^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3083189722 + ... + 3083199014.

Almost surely, 2^{28652125261824} is an apocalyptic number.

28652125261824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

28652125261824 is the 5352768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28652125261824

28652125261824 is an abundant number, since it is smaller than the sum of its proper divisors (56949282426049).

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

28652125261824 is an frugal number, since it uses more digits than its factorization.

28652125261824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18622 (or 9298 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The spelling of 28652125261824 in words is "twenty-eight trillion, six hundred fifty-two billion, one hundred twenty-five million, two hundred sixty-one thousand, eight hundred twenty-four".