528827040 has 288 divisors, whose sum is σ = 2153039616. Its totient is φ = 115568640.

The previous prime is 528827021. The next prime is 528827059. The reversal of 528827040 is 40728825.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (528827021) and next prime (528827059).

It is a tau number, because it is divible by the number of its divisors (288).

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 = 528826986 and 528827004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230700 + ... + 232980.

It is an arithmetic number, because the mean of its divisors is an integer number (7475832).

Almost surely, 2^528827040 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 528827040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076519808).

528827040 is an abundant number, since it is smaller than the sum of its proper divisors (1624212576).

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

528827040 is a wasteful number, since it uses less digits than its factorization.

528827040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 528827040 is about 22996.2396926106. The cubic root of 528827040 is about 808.6697874066.

The spelling of 528827040 in words is "five hundred twenty-eight million, eight hundred twenty-seven thousand, forty".