32788950 has 48 divisors (see below), whose sum is σ = 82375680. Its totient is φ = 8629920.

The previous prime is 32788949. The next prime is 32788967. The reversal of 32788950 is 5988723.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10467 + ... + 13233.

It is an arithmetic number, because the mean of its divisors is an integer number (1716160).

Almost surely, 2^32788950 is an apocalyptic number.

32788950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32788950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41187840).

32788950 is an abundant number, since it is smaller than the sum of its proper divisors (49586730).

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

32788950 is a wasteful number, since it uses less digits than its factorization.

32788950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2861 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 32788950 is about 5726.1636372007. The cubic root of 32788950 is about 320.0681820861.

The spelling of 32788950 in words is "thirty-two million, seven hundred eighty-eight thousand, nine hundred fifty".