28579824 has 160 divisors (see below), whose sum is σ = 101104640. Its totient is φ = 7527168.

The previous prime is 28579801. The next prime is 28579853. The reversal of 28579824 is 42897582.

It is a self number, because there is not a number n which added to its sum of digits gives 28579824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38949 + ... + 39675.

It is an arithmetic number, because the mean of its divisors is an integer number (631904).

Almost surely, 2^28579824 is an apocalyptic number.

28579824 is a gapful number since it is divisible by the number (24) 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 28579824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50552320).

28579824 is an abundant number, since it is smaller than the sum of its proper divisors (72524816).

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

28579824 is a wasteful number, since it uses less digits than its factorization.

28579824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 752 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 28579824 is about 5346.0101010006. The cubic root of 28579824 is about 305.7406491454.

It can be divided in two parts, 28579 and 824, that added together give a triangular number (29403 = T₂₄₂).

The spelling of 28579824 in words is "twenty-eight million, five hundred seventy-nine thousand, eight hundred twenty-four".