28590960 has 40 divisors (see below), whose sum is σ = 88632720. Its totient is φ = 7624192.

The previous prime is 28590937. The next prime is 28590967. The reversal of 28590960 is 6909582.

It is a happy number.

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

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28590967) 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, 59325 + ... + 59804.

It is an arithmetic number, because the mean of its divisors is an integer number (2215818).

Almost surely, 2^28590960 is an apocalyptic number.

28590960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28590960 is an abundant number, since it is smaller than the sum of its proper divisors (60041760).

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

28590960 is a wasteful number, since it uses less digits than its factorization.

28590960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119145 (or 119139 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 28590960 is about 5347.0515239709. The cubic root of 28590960 is about 305.7803541456.

It can be divided in two parts, 285 and 90960, that multiplied together give a triangular number (25923600 = T₇₂₀₀).

The spelling of 28590960 in words is "twenty-eight million, five hundred ninety thousand, nine hundred sixty".