1520283528 has 48 divisors (see below), whose sum is σ = 4228723980. Its totient is φ = 493064064.

The previous prime is 1520283511. The next prime is 1520283529. The reversal of 1520283528 is 8253820251.

1520283528 is a `hidden beast` number, since 1 + 52 + 0 + 2 + 83 + 528 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1218149604 + 302133924 = 34902^2 + 17382^2 .

It is a super-2 number, since 2×1520283528² = 4622524011016253568, which contains 22 as substring.

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 = 1520283492 and 1520283501.

It is not an unprimeable number, because it can be changed into a prime (1520283529) 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 11 ways as a sum of consecutive naturals, for example, 282675 + ... + 288002.

Almost surely, 2^1520283528 is an apocalyptic number.

1520283528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1520283528 is an abundant number, since it is smaller than the sum of its proper divisors (2708440452).

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

1520283528 is a wasteful number, since it uses less digits than its factorization.

1520283528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570726 (or 570719 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1520283528 is about 38990.8133795642. The cubic root of 1520283528 is about 1149.8509014010.

The spelling of 1520283528 in words is "one billion, five hundred twenty million, two hundred eighty-three thousand, five hundred twenty-eight".