415363728 has 80 divisors (see below), whose sum is σ = 1166550336. Its totient is φ = 126589440.

The previous prime is 415363727. The next prime is 415363733. The reversal of 415363728 is 827363514.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (415363727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63658 + ... + 69878.

Almost surely, 2^415363728 is an apocalyptic number.

415363728 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 415363728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583275168).

415363728 is an abundant number, since it is smaller than the sum of its proper divisors (751186608).

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

415363728 is a wasteful number, since it uses less digits than its factorization.

415363728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6352 (or 6346 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 415363728 is about 20380.4741848663. The cubic root of 415363728 is about 746.1214454391.

The spelling of 415363728 in words is "four hundred fifteen million, three hundred sixty-three thousand, seven hundred twenty-eight".