40519728 has 120 divisors (see below), whose sum is σ = 121480320. Its totient is φ = 12579840.

The previous prime is 40519691. The next prime is 40519747. The reversal of 40519728 is 82791504.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 40519692 and 40519701.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129300 + ... + 129612.

It is an arithmetic number, because the mean of its divisors is an integer number (1012336).

Almost surely, 2^40519728 is an apocalyptic number.

40519728 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 40519728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60740160).

40519728 is an abundant number, since it is smaller than the sum of its proper divisors (80960592).

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

40519728 is a wasteful number, since it uses less digits than its factorization.

40519728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 40519728 is about 6365.5108200364. The cubic root of 40519728 is about 343.4700240173.

The spelling of 40519728 in words is "forty million, five hundred nineteen thousand, seven hundred twenty-eight".