20828100 has 36 divisors (see below), whose sum is σ = 60263504. Its totient is φ = 5554080.

The previous prime is 20828057. The next prime is 20828107. The reversal of 20828100 is 182802.

It is a super-2 number, since 2×20828100² = 867619499220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20828107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34414 + ... + 35013.

Almost surely, 2^20828100 is an apocalyptic number.

20828100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20828100 is an abundant number, since it is smaller than the sum of its proper divisors (39435404).

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

20828100 is a wasteful number, since it uses less digits than its factorization.

20828100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69444 (or 69437 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 20828100 is about 4563.7813269262. The cubic root of 20828100 is about 275.1375620305.

The spelling of 20828100 in words is "twenty million, eight hundred twenty-eight thousand, one hundred".