528953040 has 720 divisors, whose sum is σ = 2381633280. Its totient is φ = 103864320.

The previous prime is 528953023. The next prime is 528953041. The reversal of 528953040 is 40359825.

528953040 is a `hidden beast` number, since 5 + 2 + 89 + 530 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 528952986 and 528953004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528953041) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11254297 + ... + 11254343.

It is an arithmetic number, because the mean of its divisors is an integer number (3307824).

Almost surely, 2^528953040 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 528953040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190816640).

528953040 is an abundant number, since it is smaller than the sum of its proper divisors (1852680240).

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

528953040 is a wasteful number, since it uses less digits than its factorization.

528953040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 528953040 is about 22998.9791077778. The cubic root of 528953040 is about 808.7340077119.

The spelling of 528953040 in words is "five hundred twenty-eight million, nine hundred fifty-three thousand, forty".