3632928 has 96 divisors (see below), whose sum is σ = 10668672. Its totient is φ = 1075200.

The previous prime is 3632903. The next prime is 3632929. The reversal of 3632928 is 8292363.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (3632929) 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, 51133 + ... + 51203.

It is an arithmetic number, because the mean of its divisors is an integer number (111132).

Almost surely, 2^3632928 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 3632928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5334336).

3632928 is an abundant number, since it is smaller than the sum of its proper divisors (7035744).

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

3632928 is a wasteful number, since it uses less digits than its factorization.

3632928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 130 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 3632928 is about 1906.0241341599. The cubic root of 3632928 is about 153.7277474570.

It can be divided in two parts, 3632 and 928, that added together give a triangular number (4560 = T₉₅).

The spelling of 3632928 in words is "three million, six hundred thirty-two thousand, nine hundred twenty-eight".