1528028100 has 81 divisors (see below), whose sum is σ = 4793197773. Its totient is φ = 407161440.

The previous prime is 1528028081. The next prime is 1528028113. The reversal of 1528028100 is 18208251.

The square root of 1528028100 is 39090.

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

It can be written as a sum of positive squares in only one way, i.e., 550090116 + 977937984 = 23454^2 + 31272^2 .

It is a super-3 number, since 3×1528028100³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 26 ways as a sum of consecutive naturals, for example, 1172049 + ... + 1173351.

Almost surely, 2^1528028100 is an apocalyptic number.

1528028100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1528028100 is the 39090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1528028100

1528028100 is an abundant number, since it is smaller than the sum of its proper divisors (3265169673).

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

1528028100 is a wasteful number, since it uses less digits than its factorization.

1528028100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The cubic root of 1528028100 is about 1151.8001045667.

The spelling of 1528028100 in words is "one billion, five hundred twenty-eight million, twenty-eight thousand, one hundred".