28584144 has 80 divisors (see below), whose sum is σ = 82851840. Its totient is φ = 9434880.

The previous prime is 28584137. The next prime is 28584181. The reversal of 28584144 is 44148582.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28584099 and 28584108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54604 + ... + 55124.

It is an arithmetic number, because the mean of its divisors is an integer number (1035648).

Almost surely, 2^28584144 is an apocalyptic number.

28584144 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 28584144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41425920).

28584144 is an abundant number, since it is smaller than the sum of its proper divisors (54267696).

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

28584144 is a wasteful number, since it uses less digits than its factorization.

28584144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 653 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 28584144 is about 5346.4141253741. The cubic root of 28584144 is about 305.7560531715.

The spelling of 28584144 in words is "twenty-eight million, five hundred eighty-four thousand, one hundred forty-four".