528238800 has 240 divisors, whose sum is σ = 1914312000. Its totient is φ = 138309120.

The previous prime is 528238759. The next prime is 528238801. The reversal of 528238800 is 8832825.

It is a tau number, because it is divible by the number of its divisors (240).

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 (528238801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 636786 + ... + 637614.

It is an arithmetic number, because the mean of its divisors is an integer number (7976300).

Almost surely, 2^528238800 is an apocalyptic number.

528238800 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 528238800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957156000).

528238800 is an abundant number, since it is smaller than the sum of its proper divisors (1386073200).

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

528238800 is a wasteful number, since it uses less digits than its factorization.

528238800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 528238800 is about 22983.4462167883. The cubic root of 528238800 is about 808.3698352690.

The spelling of 528238800 in words is "five hundred twenty-eight million, two hundred thirty-eight thousand, eight hundred".