28582944 has 96 divisors (see below), whose sum is σ = 83119680. Its totient is φ = 8543232.

The previous prime is 28582943. The next prime is 28582979. The reversal of 28582944 is 44928582.

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

It is a junction number, because it is equal to n+sod(n) for n = 28582896 and 28582905.

It is not an unprimeable number, because it can be changed into a prime (28582943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45867 + ... + 46485.

It is an arithmetic number, because the mean of its divisors is an integer number (865830).

Almost surely, 2^28582944 is an apocalyptic number.

28582944 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 28582944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41559840).

28582944 is an abundant number, since it is smaller than the sum of its proper divisors (54536736).

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

28582944 is a wasteful number, since it uses less digits than its factorization.

28582944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 674 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 28582944 is about 5346.3018994441. The cubic root of 28582944 is about 305.7517744310.

The spelling of 28582944 in words is "twenty-eight million, five hundred eighty-two thousand, nine hundred forty-four".