2704128 has 72 divisors (see below), whose sum is σ = 8241408. Its totient is φ = 771072.

The previous prime is 2704127. The next prime is 2704129. The reversal of 2704128 is 8214072.

It is an interprime number because it is at equal distance from previous prime (2704127) and next prime (2704129).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2704098 and 2704107.

It is not an unprimeable number, because it can be changed into a prime (2704127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5125 + ... + 5627.

It is an arithmetic number, because the mean of its divisors is an integer number (114464).

2^2704128 is an apocalyptic number.

2704128 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 2704128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4120704).

2704128 is an abundant number, since it is smaller than the sum of its proper divisors (5537280).

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

2704128 is an equidigital number, since it uses as much as digits as its factorization.

2704128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 2704128 is about 1644.4233031674. The cubic root of 2704128 is about 139.3185936093.

The spelling of 2704128 in words is "two million, seven hundred four thousand, one hundred twenty-eight".