1957242528 has 96 divisors (see below), whose sum is σ = 5779307520. Its totient is φ = 652390848.

The previous prime is 1957242499. The next prime is 1957242533. The reversal of 1957242528 is 8252427591.

1957242528 is a `hidden beast` number, since 19 + 5 + 72 + 42 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56001 + ... + 83967.

It is an arithmetic number, because the mean of its divisors is an integer number (60201120).

Almost surely, 2^1957242528 is an apocalyptic number.

1957242528 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 1957242528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889653760).

1957242528 is an abundant number, since it is smaller than the sum of its proper divisors (3822064992).

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

1957242528 is an frugal number, since it uses more digits than its factorization.

1957242528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27998 (or 27972 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 1957242528 is about 44240.7338094657. The cubic root of 1957242528 is about 1250.8777894176.

The spelling of 1957242528 in words is "one billion, nine hundred fifty-seven million, two hundred forty-two thousand, five hundred twenty-eight".