1528820460 has 96 divisors (see below), whose sum is σ = 4788504000. Its totient is φ = 404928000.

The previous prime is 1528820453. The next prime is 1528820471. The reversal of 1528820460 is 640288251.

It is a super-2 number, since 2×1528820460² = 4674583997829223200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70960 + ... + 89960.

It is an arithmetic number, because the mean of its divisors is an integer number (49880250).

Almost surely, 2^1528820460 is an apocalyptic number.

1528820460 is a gapful number since it is divisible by the number (10) 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 1528820460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2394252000).

1528820460 is an abundant number, since it is smaller than the sum of its proper divisors (3259683540).

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

1528820460 is a wasteful number, since it uses less digits than its factorization.

1528820460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19168 (or 19160 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1528820460 is about 39100.1337593620. The cubic root of 1528820460 is about 1151.9991590706. Note that the first 3 decimals are identical.

The spelling of 1528820460 in words is "one billion, five hundred twenty-eight million, eight hundred twenty thousand, four hundred sixty".