28892100 has 72 divisors (see below), whose sum is σ = 84196000. Its totient is φ = 7649280.

The previous prime is 28892081. The next prime is 28892107. The reversal of 28892100 is 129882.

It is a super-3 number, since 3×28892100³ (a number of 23 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (28892107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57651 + ... + 58149.

Almost surely, 2^28892100 is an apocalyptic number.

28892100 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 28892100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42098000).

28892100 is an abundant number, since it is smaller than the sum of its proper divisors (55303900).

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

28892100 is a wasteful number, since it uses less digits than its factorization.

28892100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 28892100 is about 5375.1372075511. The cubic root of 28892100 is about 306.8501711004.

The spelling of 28892100 in words is "twenty-eight million, eight hundred ninety-two thousand, one hundred".