40781328 has 80 divisors (see below), whose sum is σ = 122908800. Its totient is φ = 11647104.

The previous prime is 40781311. The next prime is 40781333. The reversal of 40781328 is 82318704.

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, 15226 + ... + 17702.

It is an arithmetic number, because the mean of its divisors is an integer number (1536360).

Almost surely, 2^40781328 is an apocalyptic number.

40781328 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 40781328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61454400).

40781328 is an abundant number, since it is smaller than the sum of its proper divisors (82127472).

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

40781328 is a wasteful number, since it uses less digits than its factorization.

40781328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2509 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 40781328 is about 6386.0259943098. The cubic root of 40781328 is about 344.2075995874.

The spelling of 40781328 in words is "forty million, seven hundred eighty-one thousand, three hundred twenty-eight".