528364800 has 162 divisors, whose sum is σ = 1889229342. Its totient is φ = 140881920.

The previous prime is 528364799. The next prime is 528364801. The reversal of 528364800 is 8463825.

528364800 is a `hidden beast` number, since 5 + 2 + 8 + 3 + 648 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (528364799) and next prime (528364801).

It can be written as a sum of positive squares in 3 ways, for example, as 1937664 + 526427136 = 1392^2 + 22944^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528364801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 53014 + ... + 62186.

Almost surely, 2^528364800 is an apocalyptic number.

528364800 is a gapful number since it is divisible by the number (50) 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 528364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944614671).

528364800 is an abundant number, since it is smaller than the sum of its proper divisors (1360864542).

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

528364800 is a wasteful number, since it uses less digits than its factorization.

528364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9205 (or 9183 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 528364800 is about 22986.1871566382. The cubic root of 528364800 is about 808.4341032364.

The spelling of 528364800 in words is "five hundred twenty-eight million, three hundred sixty-four thousand, eight hundred".