28833840 has 160 divisors (see below), whose sum is σ = 113564160. Its totient is φ = 6587136.

The previous prime is 28833839. The next prime is 28833851. The reversal of 28833840 is 4833882.

It is a happy number.

28833840 is a `hidden beast` number, since 288 + 338 + 40 = 666.

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 = 28833795 and 28833804.

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, 14167 + ... + 16073.

It is an arithmetic number, because the mean of its divisors is an integer number (709776).

Almost surely, 2^28833840 is an apocalyptic number.

28833840 is a gapful number since it is divisible by the number (20) 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 28833840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56782080).

28833840 is an abundant number, since it is smaller than the sum of its proper divisors (84730320).

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

28833840 is a wasteful number, since it uses less digits than its factorization.

28833840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 28833840 is about 5369.7150762401. The cubic root of 28833840 is about 306.6437811109.

The spelling of 28833840 in words is "twenty-eight million, eight hundred thirty-three thousand, eight hundred forty".