40115328 has 64 divisors (see below), whose sum is σ = 116255520. Its totient is φ = 12154880.

The previous prime is 40115303. The next prime is 40115347. The reversal of 40115328 is 82351104.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 40115298 and 40115307.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 525 + ... + 8972.

Almost surely, 2^40115328 is an apocalyptic number.

40115328 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 40115328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58127760).

40115328 is an abundant number, since it is smaller than the sum of its proper divisors (76140192).

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

40115328 is a wasteful number, since it uses less digits than its factorization.

40115328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9525 (or 9513 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 40115328 is about 6333.6662368647. Note that the first 3 decimals coincide. The cubic root of 40115328 is about 342.3235541334.

It can be divided in two parts, 4011 and 5328, that added together give a palindrome (9339).

The spelling of 40115328 in words is "forty million, one hundred fifteen thousand, three hundred twenty-eight".