1328059152 has 180 divisors, whose sum is σ = 4484306736. Its totient is φ = 379391040.

The previous prime is 1328059141. The next prime is 1328059153. The reversal of 1328059152 is 2519508231.

1328059152 is a `hidden beast` number, since 13 + 2 + 8 + 0 + 591 + 52 = 666.

It is a super-2 number, since 2×1328059152² = 3527482222421918208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1328059153) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 187027 + ... + 193997.

Almost surely, 2^1328059152 is an apocalyptic number.

1328059152 is a gapful number since it is divisible by the number (12) 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 1328059152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2242153368).

1328059152 is an abundant number, since it is smaller than the sum of its proper divisors (3156247584).

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

1328059152 is an equidigital number, since it uses as much as digits as its factorization.

1328059152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7008 (or 6983 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1328059152 is about 36442.5459044782. The cubic root of 1328059152 is about 1099.1892516254.

The spelling of 1328059152 in words is "one billion, three hundred twenty-eight million, fifty-nine thousand, one hundred fifty-two".