100728 has 24 divisors (see below), whose sum is σ = 273000. Its totient is φ = 33552.

The previous prime is 100703. The next prime is 100733. The reversal of 100728 is 827001.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×100728² = 20292259968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 100728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 628 + ... + 771.

It is an arithmetic number, because the mean of its divisors is an integer number (11375).

2¹⁰⁰⁷²⁸ is an apocalyptic number.

100728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100728 is an abundant number, since it is smaller than the sum of its proper divisors (172272).

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

100728 is a wasteful number, since it uses less digits than its factorization.

100728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 100728 is about 317.3767477305. The cubic root of 100728 is about 46.5282519955.

Adding to 100728 its reverse (827001), we get a palindrome (927729).

It can be divided in two parts, 1007 and 28, that added together give a triangular number (1035 = T₄₅).

The spelling of 100728 in words is "one hundred thousand, seven hundred twenty-eight".