28461520 has 40 divisors (see below), whose sum is σ = 66424320. Its totient is φ = 11341440.

The previous prime is 28461509. The next prime is 28461527. The reversal of 28461520 is 2516482.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28461527) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 28225 + ... + 29215.

It is an arithmetic number, because the mean of its divisors is an integer number (1660608).

Almost surely, 2^28461520 is an apocalyptic number.

28461520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28461520 is an abundant number, since it is smaller than the sum of its proper divisors (37962800).

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

28461520 is a wasteful number, since it uses less digits than its factorization.

28461520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 28461520 is about 5334.9339264887. The cubic root of 28461520 is about 305.3182023525.

It can be divided in two parts, 284615 and 20, that added together give a triangular number (284635 = T₇₅₄).

The spelling of 28461520 in words is "twenty-eight million, four hundred sixty-one thousand, five hundred twenty".