28633640 has 64 divisors (see below), whose sum is σ = 75168000. Its totient is φ = 9812544.

The previous prime is 28633637. The next prime is 28633651. The reversal of 28633640 is 4633682.

It is a junction number, because it is equal to n+sod(n) for n = 28633597 and 28633606.

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, 12677 + ... + 14763.

It is an arithmetic number, because the mean of its divisors is an integer number (1174500).

Almost surely, 2^28633640 is an apocalyptic number.

28633640 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 28633640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37584000).

28633640 is an abundant number, since it is smaller than the sum of its proper divisors (46534360).

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

28633640 is a wasteful number, since it uses less digits than its factorization.

28633640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 28633640 is about 5351.0410202128. The cubic root of 28633640 is about 305.9324327158.

The spelling of 28633640 in words is "twenty-eight million, six hundred thirty-three thousand, six hundred forty".