32428032 has 208 divisors, whose sum is σ = 110087040. Its totient is φ = 8257536.

The previous prime is 32428031. The next prime is 32428049. The reversal of 32428032 is 23082423.

It is a tau number, because it is divible by the number of its divisors (208).

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 = 32427993 and 32428011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32428031) 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, 1118194 + ... + 1118222.

Almost surely, 2^32428032 is an apocalyptic number.

32428032 is a gapful number since it is divisible by the number (32) 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 32428032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55043520).

32428032 is an abundant number, since it is smaller than the sum of its proper divisors (77659008).

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

32428032 is a wasteful number, since it uses less digits than its factorization.

32428032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 32428032 is about 5694.5616161387. The cubic root of 32428032 is about 318.8894838977.

The spelling of 32428032 in words is "thirty-two million, four hundred twenty-eight thousand, thirty-two".