28144824 has 64 divisors (see below), whose sum is σ = 74615040. Its totient is φ = 8828160.

The previous prime is 28144817. The next prime is 28144849. The reversal of 28144824 is 42844182.

It is a super-2 number, since 2×28144824² = 1584262235981952, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 36604 + ... + 37364.

It is an arithmetic number, because the mean of its divisors is an integer number (1165860).

Almost surely, 2^28144824 is an apocalyptic number.

28144824 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 28144824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37307520).

28144824 is an abundant number, since it is smaller than the sum of its proper divisors (46470216).

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

28144824 is a wasteful number, since it uses less digits than its factorization.

28144824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 856 counting only the distinct ones).

The product of its digits is 16384, while the sum is 33.

The square root of 28144824 is about 5305.1695543121. The cubic root of 28144824 is about 304.1815340036.

The spelling of 28144824 in words is "twenty-eight million, one hundred forty-four thousand, eight hundred twenty-four".