1957230128 has 240 divisors, whose sum is σ = 5038070400. Its totient is φ = 729630720.

The previous prime is 1957230113. The next prime is 1957230169. The reversal of 1957230128 is 8210327591.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 1957230091 and 1957230100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14940623 + ... + 14940753.

It is an arithmetic number, because the mean of its divisors is an integer number (20991960).

Almost surely, 2^1957230128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1957230128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519035200).

1957230128 is an abundant number, since it is smaller than the sum of its proper divisors (3080840272).

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

1957230128 is a wasteful number, since it uses less digits than its factorization.

1957230128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 1957230128 is about 44240.5936669028. The cubic root of 1957230128 is about 1250.8751477901.

The spelling of 1957230128 in words is "one billion, nine hundred fifty-seven million, two hundred thirty thousand, one hundred twenty-eight".