28789824 has 112 divisors (see below), whose sum is σ = 89993216. Its totient is φ = 7948800.

The previous prime is 28789799. The next prime is 28789841. The reversal of 28789824 is 42898782.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 41319 + ... + 42009.

Almost surely, 2^28789824 is an apocalyptic number.

28789824 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 28789824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44996608).

28789824 is an abundant number, since it is smaller than the sum of its proper divisors (61203392).

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

28789824 is a wasteful number, since it uses less digits than its factorization.

28789824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 734 counting only the distinct ones).

The product of its digits is 516096, while the sum is 48.

The square root of 28789824 is about 5365.6149694140. The cubic root of 28789824 is about 306.4876670158.

The spelling of 28789824 in words is "twenty-eight million, seven hundred eighty-nine thousand, eight hundred twenty-four".