32461128 has 96 divisors (see below), whose sum is σ = 104925600. Its totient is φ = 9271584.

The previous prime is 32461111. The next prime is 32461133. The reversal of 32461128 is 82116423.

32461128 is a `hidden beast` number, since 3 + 24 + 611 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9051 + ... + 12117.

It is an arithmetic number, because the mean of its divisors is an integer number (1092975).

Almost surely, 2^32461128 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 32461128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52462800).

32461128 is an abundant number, since it is smaller than the sum of its proper divisors (72464472).

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

32461128 is a wasteful number, since it uses less digits than its factorization.

32461128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096 (or 3079 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 32461128 is about 5697.4668055198. The cubic root of 32461128 is about 318.9979330520.

The spelling of 32461128 in words is "thirty-two million, four hundred sixty-one thousand, one hundred twenty-eight".