100228996728 has 128 divisors (see below), whose sum is σ = 318315571200. Its totient is φ = 28625311872.

The previous prime is 100228996723. The next prime is 100228996753. The reversal of 100228996728 is 827699822001.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100228996723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4171726 + ... + 4195682.

It is an arithmetic number, because the mean of its divisors is an integer number (2486840400).

Almost surely, 2^100228996728 is an apocalyptic number.

100228996728 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 100228996728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159157785600).

100228996728 is an abundant number, since it is smaller than the sum of its proper divisors (218086574472).

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

100228996728 is a wasteful number, since it uses less digits than its factorization.

100228996728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26746 (or 26736 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 100228996728 in words is "one hundred billion, two hundred twenty-eight million, nine hundred ninety-six thousand, seven hundred twenty-eight".