1598288328 has 512 divisors, whose sum is σ = 5866291200. Its totient is φ = 391910400.

The previous prime is 1598288327. The next prime is 1598288369. The reversal of 1598288328 is 8238828951.

1598288328 is a `hidden beast` number, since 1 + 598 + 28 + 8 + 3 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2211840) is a multiple of the sum of its prime divisors (160).

It is not an unprimeable number, because it can be changed into a prime (1598288327) 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 127 ways as a sum of consecutive naturals, for example, 26201418 + ... + 26201478.

It is an arithmetic number, because the mean of its divisors is an integer number (11457600).

Almost surely, 2^1598288328 is an apocalyptic number.

1598288328 is a gapful number since it is divisible by the number (18) 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 1598288328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933145600).

1598288328 is an abundant number, since it is smaller than the sum of its proper divisors (4268002872).

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

1598288328 is a wasteful number, since it uses less digits than its factorization.

1598288328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 160 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The square root of 1598288328 is about 39978.5983746304. The cubic root of 1598288328 is about 1169.1898665258.

The spelling of 1598288328 in words is "one billion, five hundred ninety-eight million, two hundred eighty-eight thousand, three hundred twenty-eight".