2715328 has 112 divisors (see below), whose sum is σ = 7315200. Its totient is φ = 967680.

The previous prime is 2715313. The next prime is 2715329. The reversal of 2715328 is 8235172.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×2715328² = 14746012295168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2715296 and 2715305.

It is not an unprimeable number, because it can be changed into a prime (2715329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93618 + ... + 93646.

2^2715328 is an apocalyptic number.

2715328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2715328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3657600).

2715328 is an abundant number, since it is smaller than the sum of its proper divisors (4599872).

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

2715328 is a wasteful number, since it uses less digits than its factorization.

2715328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 68 counting only the distinct ones).

The product of its digits is 3360, while the sum is 28.

The square root of 2715328 is about 1647.8252334517. The cubic root of 2715328 is about 139.5106726503.

The spelling of 2715328 in words is "two million, seven hundred fifteen thousand, three hundred twenty-eight".