528796800 has 576 divisors, whose sum is σ = 2242743360. Its totient is φ = 116121600.

The previous prime is 528796789. The next prime is 528796811. The reversal of 528796800 is 8697825.

It is an interprime number because it is at equal distance from previous prime (528796789) and next prime (528796811).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8668770 + ... + 8668830.

Almost surely, 2^528796800 is an apocalyptic number.

528796800 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 528796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121371680).

528796800 is an abundant number, since it is smaller than the sum of its proper divisors (1713946560).

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

528796800 is a wasteful number, since it uses less digits than its factorization.

528796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 528796800 is about 22995.5821844110. The cubic root of 528796800 is about 808.6543730155.

The spelling of 528796800 in words is "five hundred twenty-eight million, seven hundred ninety-six thousand, eight hundred".