19928100 has 72 divisors (see below), whose sum is σ = 58135168. Its totient is φ = 5270400.

The previous prime is 19928057. The next prime is 19928101. The reversal of 19928100 is 182991.

It is a super-2 number, since 2×19928100² = 794258339220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19928101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54117 + ... + 54483.

Almost surely, 2^19928100 is an apocalyptic number.

19928100 is a gapful number since it is divisible by the number (10) 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 19928100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29067584).

19928100 is an abundant number, since it is smaller than the sum of its proper divisors (38207068).

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

19928100 is a wasteful number, since it uses less digits than its factorization.

19928100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 19928100 is about 4464.0900528551. The cubic root of 19928100 is about 271.1160933769.

The spelling of 19928100 in words is "nineteen million, nine hundred twenty-eight thousand, one hundred".