528263040 has 128 divisors (see below), whose sum is σ = 1707357600. Its totient is φ = 138903552.

The previous prime is 528263039. The next prime is 528263053. The reversal of 528263040 is 40362825.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 528262989 and 528263007.

It is a congruent number.

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, 138276 + ... + 142044.

Almost surely, 2^528263040 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 528263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853678800).

528263040 is an abundant number, since it is smaller than the sum of its proper divisors (1179094560).

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

528263040 is a wasteful number, since it uses less digits than its factorization.

528263040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3864 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 528263040 is about 22983.9735468000. The cubic root of 528263040 is about 808.3821999957.

The spelling of 528263040 in words is "five hundred twenty-eight million, two hundred sixty-three thousand, forty".