1597867128 has 384 divisors, whose sum is σ = 5570208000. Its totient is φ = 418314240.

The previous prime is 1597867099. The next prime is 1597867147. The reversal of 1597867128 is 8217687951.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

Its product of digits (1693440) is a multiple of the sum of its prime factors (252).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 8926543 + ... + 8926721.

It is an arithmetic number, because the mean of its divisors is an integer number (14505750).

Almost surely, 2^1597867128 is an apocalyptic number.

1597867128 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 1597867128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785104000).

1597867128 is an abundant number, since it is smaller than the sum of its proper divisors (3972340872).

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

1597867128 is a wasteful number, since it uses less digits than its factorization.

1597867128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 225 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 54.

The square root of 1597867128 is about 39973.3302090281. The cubic root of 1597867128 is about 1169.0871512169.

The spelling of 1597867128 in words is "one billion, five hundred ninety-seven million, eight hundred sixty-seven thousand, one hundred twenty-eight".