1328602500 has 195 divisors, whose sum is σ = 4358079187. Its totient is φ = 354294000.

The previous prime is 1328602477. The next prime is 1328602507. The reversal of 1328602500 is 52068231.

The square root of 1328602500 is 36450.

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

1328602500 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 602 + 50 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 104162436 + 1224440064 = 10206^2 + 34992^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=135.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (1328602507) by changing a digit.

It is a polite number, since it can be written in 64 ways as a sum of consecutive naturals, for example, 265720498 + ... + 265720502.

Almost surely, 2^1328602500 is an apocalyptic number.

1328602500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1328602500 is the 36450-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1328602500

1328602500 is an abundant number, since it is smaller than the sum of its proper divisors (3029476687).

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

1328602500 is an frugal number, since it uses more digits than its factorization.

1328602500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The cubic root of 1328602500 is about 1099.3391347209.

The spelling of 1328602500 in words is "one billion, three hundred twenty-eight million, six hundred two thousand, five hundred".