100882728 has 48 divisors (see below), whose sum is σ = 273698100. Its totient is φ = 33569280.

The previous prime is 100882721. The next prime is 100882729. The reversal of 100882728 is 827288001.

It can be written as a sum of positive squares in 2 ways, for example, as 100040004 + 842724 = 10002^2 + 918^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 100882692 and 100882701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100882721) 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, 67008 + ... + 68496.

Almost surely, 2^100882728 is an apocalyptic number.

100882728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100882728 is an abundant number, since it is smaller than the sum of its proper divisors (172815372).

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

100882728 is a wasteful number, since it uses less digits than its factorization.

100882728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2442 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 100882728 is about 10044.0394264459. The cubic root of 100882728 is about 465.5206378001.

The spelling of 100882728 in words is "one hundred million, eight hundred eighty-two thousand, seven hundred twenty-eight".