32428792 has 64 divisors (see below), whose sum is σ = 71733600. Its totient is φ = 13578240.

The previous prime is 32428787. The next prime is 32428793. The reversal of 32428792 is 29782423.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32428793) 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, 79084 + ... + 79492.

Almost surely, 2^32428792 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 32428792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35866800).

32428792 is an abundant number, since it is smaller than the sum of its proper divisors (39304808).

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

32428792 is a wasteful number, since it uses less digits than its factorization.

32428792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 492 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 32428792 is about 5694.6283460819. The cubic root of 32428792 is about 318.8919750974.

It can be divided in two parts, 32 and 428792, that added together give a palindrome (428824).

The spelling of 32428792 in words is "thirty-two million, four hundred twenty-eight thousand, seven hundred ninety-two".