528826368 has 240 divisors, whose sum is σ = 1698641280. Its totient is φ = 143130624.

The previous prime is 528826367. The next prime is 528826379. The reversal of 528826368 is 863628825.

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

Its product of digits (1105920) is a multiple of the sum of its prime factors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528826367) 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, 9977830 + ... + 9977882.

It is an arithmetic number, because the mean of its divisors is an integer number (7077672).

Almost surely, 2^528826368 is an apocalyptic number.

528826368 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 528826368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849320640).

528826368 is an abundant number, since it is smaller than the sum of its proper divisors (1169814912).

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

528826368 is an equidigital number, since it uses as much as digits as its factorization.

528826368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 94 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The square root of 528826368 is about 22996.2250815215. The cubic root of 528826368 is about 808.6694448710.

The spelling of 528826368 in words is "five hundred twenty-eight million, eight hundred twenty-six thousand, three hundred sixty-eight".