32149128 has 64 divisors (see below), whose sum is σ = 89579520. Its totient is φ = 9531200.

The previous prime is 32149123. The next prime is 32149133. The reversal of 32149128 is 82194123.

It is an interprime number because it is at equal distance from previous prime (32149123) and next prime (32149133).

It is a junction number, because it is equal to n+sod(n) for n = 32149095 and 32149104.

It is not an unprimeable number, because it can be changed into a prime (32149123) 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, 11113 + ... + 13703.

It is an arithmetic number, because the mean of its divisors is an integer number (1399680).

Almost surely, 2^32149128 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 32149128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44789760).

32149128 is an abundant number, since it is smaller than the sum of its proper divisors (57430392).

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

32149128 is a wasteful number, since it uses less digits than its factorization.

32149128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2658 (or 2654 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 32149128 is about 5670.0201057845. The cubic root of 32149128 is about 317.9726253086.

The spelling of 32149128 in words is "thirty-two million, one hundred forty-nine thousand, one hundred twenty-eight".