100428588 has 108 divisors (see below), whose sum is σ = 291360888. Its totient is φ = 29053440.

The previous prime is 100428551. The next prime is 100428599. The reversal of 100428588 is 885824001.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 102943 + ... + 103913.

It is an arithmetic number, because the mean of its divisors is an integer number (2697786).

Almost surely, 2^100428588 is an apocalyptic number.

100428588 is a gapful number since it is divisible by the number (18) 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 100428588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145680444).

100428588 is an abundant number, since it is smaller than the sum of its proper divisors (190932300).

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

100428588 is a wasteful number, since it uses less digits than its factorization.

100428588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 100428588 is about 10021.4064881133. The cubic root of 100428588 is about 464.8210480326.

It can be divided in two parts, 1004 and 28588, that added together give a palindrome (29592).

The spelling of 100428588 in words is "one hundred million, four hundred twenty-eight thousand, five hundred eighty-eight".