1597897728 has 528 divisors, whose sum is σ = 5885927424. Its totient is φ = 406978560.

The previous prime is 1597897727. The next prime is 1597897751. The reversal of 1597897728 is 8277987951.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (17781120) is a multiple of the sum of its prime factors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1597897727) 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 47 ways as a sum of consecutive naturals, for example, 33997801 + ... + 33997847.

Almost surely, 2^1597897728 is an apocalyptic number.

1597897728 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 1597897728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2942963712).

1597897728 is an abundant number, since it is smaller than the sum of its proper divisors (4288029696).

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

1597897728 is a wasteful number, since it uses less digits than its factorization.

1597897728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

The product of its digits is 17781120, while the sum is 63.

The square root of 1597897728 is about 39973.7129623957. The cubic root of 1597897728 is about 1169.0946140482.

The spelling of 1597897728 in words is "one billion, five hundred ninety-seven million, eight hundred ninety-seven thousand, seven hundred twenty-eight".