20810628 has 48 divisors (see below), whose sum is σ = 54250560. Its totient is φ = 6898752.

The previous prime is 20810627. The next prime is 20810633. The reversal of 20810628 is 82601802.

20810628 is a `hidden beast` number, since 20 + 8 + 10 + 628 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20810627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24751 + ... + 25577.

It is an arithmetic number, because the mean of its divisors is an integer number (1130220).

Almost surely, 2^20810628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20810628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27125280).

20810628 is an abundant number, since it is smaller than the sum of its proper divisors (33439932).

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

20810628 is a wasteful number, since it uses less digits than its factorization.

20810628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 20810628 is about 4561.8667231737. The cubic root of 20810628 is about 275.0606059261.

The spelling of 20810628 in words is "twenty million, eight hundred ten thousand, six hundred twenty-eight".