32479128 has 96 divisors (see below), whose sum is σ = 100189440. Its totient is φ = 9408960.

The previous prime is 32479127. The next prime is 32479171. The reversal of 32479128 is 82197423.

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

It is a junction number, because it is equal to n+sod(n) for n = 32479092 and 32479101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32479123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17325 + ... + 19107.

It is an arithmetic number, because the mean of its divisors is an integer number (1043640).

Almost surely, 2^32479128 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 32479128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50094720).

32479128 is an abundant number, since it is smaller than the sum of its proper divisors (67710312).

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

32479128 is a wasteful number, since it uses less digits than its factorization.

32479128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1822 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 32479128 is about 5699.0462359942. The cubic root of 32479128 is about 319.0568846058.

The spelling of 32479128 in words is "thirty-two million, four hundred seventy-nine thousand, one hundred twenty-eight".