28428100 has 36 divisors (see below), whose sum is σ = 62624464. Its totient is φ = 11198880.

The previous prime is 28428073. The next prime is 28428107. The reversal of 28428100 is 182482.

It is a super-2 number, since 2×28428100² = 1616313739220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (28428107) 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, 4579 + ... + 8821.

Almost surely, 2^28428100 is an apocalyptic number.

28428100 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 28428100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31312232).

28428100 is an abundant number, since it is smaller than the sum of its proper divisors (34196364).

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

28428100 is a wasteful number, since it uses less digits than its factorization.

28428100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4324 (or 4317 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 28428100 is about 5331.8008214861. The cubic root of 28428100 is about 305.1986522754.

The spelling of 28428100 in words is "twenty-eight million, four hundred twenty-eight thousand, one hundred".