101392728 has 64 divisors (see below), whose sum is σ = 261999360. Its totient is φ = 32674176.

The previous prime is 101392703. The next prime is 101392751. The reversal of 101392728 is 827293101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201325 + ... + 201827.

It is an arithmetic number, because the mean of its divisors is an integer number (4093740).

Almost surely, 2^101392728 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 101392728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130999680).

101392728 is an abundant number, since it is smaller than the sum of its proper divisors (160606632).

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

101392728 is a wasteful number, since it uses less digits than its factorization.

101392728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 101392728 is about 10069.3956124486. The cubic root of 101392728 is about 466.3037800188.

The spelling of 101392728 in words is "one hundred one million, three hundred ninety-two thousand, seven hundred twenty-eight".