40032288 has 72 divisors (see below), whose sum is σ = 115095708. Its totient is φ = 13197312.

The previous prime is 40032281. The next prime is 40032301. The reversal of 40032288 is 88223004.

It can be written as a sum of positive squares in 2 ways, for example, as 39087504 + 944784 = 6252^2 + 972^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (40032281) 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, 27220 + ... + 28652.

Almost surely, 2^40032288 is an apocalyptic number.

40032288 is a gapful number since it is divisible by the number (48) 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 40032288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57547854).

40032288 is an abundant number, since it is smaller than the sum of its proper divisors (75063420).

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

40032288 is a wasteful number, since it uses less digits than its factorization.

40032288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 40032288 is about 6327.1073959591. The cubic root of 40032288 is about 342.0871840927.

The spelling of 40032288 in words is "forty million, thirty-two thousand, two hundred eighty-eight".