8137728 has 66 divisors (see below), whose sum is σ = 23524124. Its totient is φ = 2709504.

The previous prime is 8137697. The next prime is 8137733. The reversal of 8137728 is 8277318.

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 = 8137692 and 8137701.

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, 8775 + ... + 9657.

Almost surely, 2^8137728 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 8137728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11762062).

8137728 is an abundant number, since it is smaller than the sum of its proper divisors (15386396).

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

8137728 is a wasteful number, since it uses less digits than its factorization.

8137728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 888 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 8137728 is about 2852.6703279559. The cubic root of 8137728 is about 201.1412091561.

The spelling of 8137728 in words is "eight million, one hundred thirty-seven thousand, seven hundred twenty-eight".