535757928 has 64 divisors (see below), whose sum is σ = 1391256000. Its totient is φ = 171781632.

The previous prime is 535757923. The next prime is 535757933. The reversal of 535757928 is 829757535.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (535757923) and next prime (535757933).

It is a super-3 number, since 3×535757928³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (535757921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75643 + ... + 82421.

It is an arithmetic number, because the mean of its divisors is an integer number (21738375).

Almost surely, 2^535757928 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 535757928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695628000).

535757928 is an abundant number, since it is smaller than the sum of its proper divisors (855498072).

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

535757928 is a wasteful number, since it uses less digits than its factorization.

535757928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6914 (or 6910 counting only the distinct ones).

The product of its digits is 2646000, while the sum is 51.

The square root of 535757928 is about 23146.4452562375. The cubic root of 535757928 is about 812.1873147259.

The spelling of 535757928 in words is "five hundred thirty-five million, seven hundred fifty-seven thousand, nine hundred twenty-eight".