40928832 has 84 divisors (see below), whose sum is σ = 134087616. Its totient is φ = 11692800.

The previous prime is 40928807. The next prime is 40928857. The reversal of 40928832 is 23882904.

It is an interprime number because it is at equal distance from previous prime (40928807) and next prime (40928857).

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1044 + ... + 9107.

Almost surely, 2^40928832 is an apocalyptic number.

40928832 is a gapful number since it is divisible by the number (42) 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 40928832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67043808).

40928832 is an abundant number, since it is smaller than the sum of its proper divisors (93158784).

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

40928832 is a wasteful number, since it uses less digits than its factorization.

40928832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10176 (or 10163 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 40928832 is about 6397.5645366030. The cubic root of 40928832 is about 344.6220940772.

It can be divided in two parts, 409 and 28832, that added together give a square (29241 = 171²).

The spelling of 40928832 in words is "forty million, nine hundred twenty-eight thousand, eight hundred thirty-two".