2896128 has 72 divisors (see below), whose sum is σ = 8584800. Its totient is φ = 963072.

The previous prime is 2896123. The next prime is 2896139. The reversal of 2896128 is 8216982.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2896092 and 2896101.

It is not an unprimeable number, because it can be changed into a prime (2896121) 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, 6703 + ... + 7121.

2^2896128 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 2896128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4292400).

2896128 is an abundant number, since it is smaller than the sum of its proper divisors (5688672).

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

2896128 is an equidigital number, since it uses as much as digits as its factorization.

2896128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 424 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 2896128 is about 1701.8013985186. The cubic root of 2896128 is about 142.5408193311.

The spelling of 2896128 in words is "two million, eight hundred ninety-six thousand, one hundred twenty-eight".