517428072 has 96 divisors (see below), whose sum is σ = 1605938880. Its totient is φ = 147432960.

The previous prime is 517428013. The next prime is 517428097. The reversal of 517428072 is 270824715.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217047 + ... + 219417.

It is an arithmetic number, because the mean of its divisors is an integer number (16728530).

Almost surely, 2^517428072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 517428072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802969440).

517428072 is an abundant number, since it is smaller than the sum of its proper divisors (1088510808).

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

517428072 is a wasteful number, since it uses less digits than its factorization.

517428072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 517428072 is about 22747.0453465939. The cubic root of 517428072 is about 802.8171884993.

The spelling of 517428072 in words is "five hundred seventeen million, four hundred twenty-eight thousand, seventy-two".