28461525120 has 512 divisors, whose sum is σ = 121986777600. Its totient is φ = 6122373120.

The previous prime is 28461525109. The next prime is 28461525173. The reversal of 28461525120 is 2152516482.

28461525120 is a `hidden beast` number, since 2 + 8 + 4 + 6 + 1 + 525 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2049400 + ... + 2063240.

It is an arithmetic number, because the mean of its divisors is an integer number (238255425).

Almost surely, 2^28461525120 is an apocalyptic number.

28461525120 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 28461525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60993388800).

28461525120 is an abundant number, since it is smaller than the sum of its proper divisors (93525252480).

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

28461525120 is a wasteful number, since it uses less digits than its factorization.

28461525120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13893 (or 13875 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 28461525120 in words is "twenty-eight billion, four hundred sixty-one million, five hundred twenty-five thousand, one hundred twenty".