32093952 has 144 divisors (see below), whose sum is σ = 97130880. Its totient is φ = 9318400.

The previous prime is 32093951. The next prime is 32093969. The reversal of 32093952 is 25939023.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32093951) 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, 244927 + ... + 245057.

It is an arithmetic number, because the mean of its divisors is an integer number (674520).

Almost surely, 2^32093952 is an apocalyptic number.

32093952 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 32093952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48565440).

32093952 is an abundant number, since it is smaller than the sum of its proper divisors (65036928).

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

32093952 is a wasteful number, since it uses less digits than its factorization.

32093952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 33.

The square root of 32093952 is about 5665.1524251339. The cubic root of 32093952 is about 317.7906141090.

The spelling of 32093952 in words is "thirty-two million, ninety-three thousand, nine hundred fifty-two".