28428417900 has 108 divisors (see below), whose sum is σ = 89758104072. Its totient is φ = 7525543680.

The previous prime is 28428417863. The next prime is 28428417911. The reversal of 28428417900 is 971482482.

28428417900 is a `hidden beast` number, since 284 + 284 + 1 + 7 + 90 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8019 + ... + 238581.

Almost surely, 2^28428417900 is an apocalyptic number.

28428417900 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 28428417900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44879052036).

28428417900 is an abundant number, since it is smaller than the sum of its proper divisors (61329686172).

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

28428417900 is a wasteful number, since it uses less digits than its factorization.

28428417900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230720 (or 230710 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 28428417900 in words is "twenty-eight billion, four hundred twenty-eight million, four hundred seventeen thousand, nine hundred".