535922688 has 192 divisors, whose sum is σ = 1731300480. Its totient is φ = 143917056.

The previous prime is 535922677. The next prime is 535922713. The reversal of 535922688 is 886229535.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 730770 + ... + 731502.

It is an arithmetic number, because the mean of its divisors is an integer number (9017190).

Almost surely, 2^535922688 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 535922688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865650240).

535922688 is an abundant number, since it is smaller than the sum of its proper divisors (1195377792).

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

535922688 is a wasteful number, since it uses less digits than its factorization.

535922688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 762 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The square root of 535922688 is about 23150.0040604748. The cubic root of 535922688 is about 812.2705626880.

It can be divided in two parts, 53592 and 2688, that added together give a triangular number (56280 = T₃₃₅).

The spelling of 535922688 in words is "five hundred thirty-five million, nine hundred twenty-two thousand, six hundred eighty-eight".