101297728 has 56 divisors (see below), whose sum is σ = 231233472. Its totient is φ = 43129344.

The previous prime is 101297717. The next prime is 101297741. The reversal of 101297728 is 827792101.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×101297728² = 20522459395923968, which contains 22 as substring.

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, 76851 + ... + 78157.

Almost surely, 2^101297728 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 101297728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115616736).

101297728 is an abundant number, since it is smaller than the sum of its proper divisors (129935744).

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

101297728 is a wasteful number, since it uses less digits than its factorization.

101297728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 37.

The square root of 101297728 is about 10064.6772427137. The cubic root of 101297728 is about 466.1580999408.

The spelling of 101297728 in words is "one hundred one million, two hundred ninety-seven thousand, seven hundred twenty-eight".