307142528 has 96 divisors (see below), whose sum is σ = 768920880. Its totient is φ = 119623680.

The previous prime is 307142527. The next prime is 307142531. The reversal of 307142528 is 825241703.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 307142494 and 307142503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (307142527) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 107000 + ... + 109832.

Almost surely, 2^307142528 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 307142528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384460440).

307142528 is an abundant number, since it is smaller than the sum of its proper divisors (461778352).

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

307142528 is a wasteful number, since it uses less digits than its factorization.

307142528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 307142528 is about 17525.4822472878. The cubic root of 307142528 is about 674.7040516986.

The spelling of 307142528 in words is "three hundred seven million, one hundred forty-two thousand, five hundred twenty-eight".