2857632 has 72 divisors (see below), whose sum is σ = 8045856. Its totient is φ = 887808.

The previous prime is 2857609. The next prime is 2857633. The reversal of 2857632 is 2367582.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2857593 and 2857602.

It is not an unprimeable number, because it can be changed into a prime (2857633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27693 + ... + 27795.

It is an arithmetic number, because the mean of its divisors is an integer number (111748).

2^2857632 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 2857632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4022928).

2857632 is an abundant number, since it is smaller than the sum of its proper divisors (5188224).

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

2857632 is a wasteful number, since it uses less digits than its factorization.

2857632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 125 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 2857632 is about 1690.4531936732. The cubic root of 2857632 is about 141.9064384003.

The spelling of 2857632 in words is "two million, eight hundred fifty-seven thousand, six hundred thirty-two".