28833882 has 64 divisors (see below), whose sum is σ = 72576000. Its totient is φ = 7418880.

The previous prime is 28833851. The next prime is 28833901.

28833882 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63994 + ... + 64442.

It is an arithmetic number, because the mean of its divisors is an integer number (1134000).

Almost surely, 2^28833882 is an apocalyptic number.

28833882 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 28833882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36288000).

28833882 is an abundant number, since it is smaller than the sum of its proper divisors (43742118).

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

28833882 is a wasteful number, since it uses less digits than its factorization.

28833882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611.

The product of its digits is 147456, while the sum is 42.

The square root of 28833882 is about 5369.7189870607. The cubic root of 28833882 is about 306.6439299988.

It can be divided in two parts, 288338 and 82, that added together give a triangular number (288420 = T₇₅₉).

The spelling of 28833882 in words is "twenty-eight million, eight hundred thirty-three thousand, eight hundred eighty-two".