1528497216 has 147 divisors (see below), whose sum is σ = 4572850773. Its totient is φ = 506684160.

The previous prime is 1528497209. The next prime is 1528497227. The reversal of 1528497216 is 6127948251.

The square root of 1528497216 is 39096.

It is a perfect power (a square), and thus also a powerful number.

1528497216 is a `hidden beast` number, since 1 + 528 + 49 + 72 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16842816 + 1511654400 = 4104^2 + 38880^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 8444646 + ... + 8444826.

Almost surely, 2^1528497216 is an apocalyptic number.

1528497216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1528497216 is the 39096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1528497216

1528497216 is an abundant number, since it is smaller than the sum of its proper divisors (3044353557).

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

1528497216 is an frugal number, since it uses more digits than its factorization.

1528497216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 186 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The cubic root of 1528497216 is about 1151.9179629081.

The spelling of 1528497216 in words is "one billion, five hundred twenty-eight million, four hundred ninety-seven thousand, two hundred sixteen".