28596000 has 96 divisors (see below), whose sum is σ = 93719808. Its totient is φ = 7622400.

The previous prime is 28595953. The next prime is 28596011. The reversal of 28596000 is 69582.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 10809 + ... + 13191.

It is an arithmetic number, because the mean of its divisors is an integer number (976248).

Almost surely, 2^28596000 is an apocalyptic number.

28596000 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 28596000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46859904).

28596000 is an abundant number, since it is smaller than the sum of its proper divisors (65123808).

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

28596000 is a wasteful number, since it uses less digits than its factorization.

28596000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 28596000 is about 5347.5227909753. The cubic root of 28596000 is about 305.7983206921.

The spelling of 28596000 in words is "twenty-eight million, five hundred ninety-six thousand".