32052768 has 96 divisors (see below), whose sum is σ = 92897280. Its totient is φ = 9596160.

The previous prime is 32052751. The next prime is 32052773. The reversal of 32052768 is 86725023.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133993 + ... + 134231.

It is an arithmetic number, because the mean of its divisors is an integer number (967680).

Almost surely, 2^32052768 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 32052768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46448640).

32052768 is an abundant number, since it is smaller than the sum of its proper divisors (60844512).

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

32052768 is a wasteful number, since it uses less digits than its factorization.

32052768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 32052768 is about 5661.5164046393. The cubic root of 32052768 is about 317.6546228490.

The spelling of 32052768 in words is "thirty-two million, fifty-two thousand, seven hundred sixty-eight".