1516388328 has 288 divisors, whose sum is σ = 5355604800. Its totient is φ = 378473472.

The previous prime is 1516388327. The next prime is 1516388329. The reversal of 1516388328 is 8238836151.

1516388328 is a `hidden beast` number, since 1 + 5 + 1 + 638 + 8 + 3 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1516388327) and next prime (1516388329).

It is a super-2 number, since 2×1516388328² = 4598867122589271168, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1516388327) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1617876 + ... + 1618812.

It is an arithmetic number, because the mean of its divisors is an integer number (18595850).

Almost surely, 2^1516388328 is an apocalyptic number.

1516388328 is a gapful number since it is divisible by the number (18) 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 1516388328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2677802400).

1516388328 is an abundant number, since it is smaller than the sum of its proper divisors (3839216472).

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

1516388328 is a wasteful number, since it uses less digits than its factorization.

1516388328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 981 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 1516388328 is about 38940.8311159379. The cubic root of 1516388328 is about 1148.8680299361.

The spelling of 1516388328 in words is "one billion, five hundred sixteen million, three hundred eighty-eight thousand, three hundred twenty-eight".