100638928 has 40 divisors (see below), whose sum is σ = 215126856. Its totient is φ = 45312000.

The previous prime is 100638913. The next prime is 100638943. The reversal of 100638928 is 829836001.

It is an interprime number because it is at equal distance from previous prime (100638913) and next prime (100638943).

It can be written as a sum of positive squares in 4 ways, for example, as 478864 + 100160064 = 692^2 + 10008^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2628 + ... + 14428.

Almost surely, 2^100638928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100638928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107563428).

100638928 is an abundant number, since it is smaller than the sum of its proper divisors (114487928).

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

100638928 is a wasteful number, since it uses less digits than its factorization.

100638928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11863 (or 11857 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 100638928 is about 10031.8955337464. The cubic root of 100638928 is about 465.1453324583.

The spelling of 100638928 in words is "one hundred million, six hundred thirty-eight thousand, nine hundred twenty-eight".