32788448 has 72 divisors (see below), whose sum is σ = 81960984. Its totient is φ = 12768000.

The previous prime is 32788447. The next prime is 32788451. The reversal of 32788448 is 84488723.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 32788399 and 32788408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32788447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16298 + ... + 18198.

It is an arithmetic number, because the mean of its divisors is an integer number (1138347).

Almost surely, 2^32788448 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 32788448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40980492).

32788448 is an abundant number, since it is smaller than the sum of its proper divisors (49172536).

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

32788448 is a wasteful number, since it uses less digits than its factorization.

32788448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936 (or 1921 counting only the distinct ones).

The product of its digits is 344064, while the sum is 44.

The square root of 32788448 is about 5726.1198031477. The cubic root of 32788448 is about 320.0665486593.

The spelling of 32788448 in words is "thirty-two million, seven hundred eighty-eight thousand, four hundred forty-eight".