528998400 has 504 divisors, whose sum is σ = 2218389264. Its totient is φ = 117964800.

The previous prime is 528998363. The next prime is 528998417. The reversal of 528998400 is 4899825.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12902380 + ... + 12902420.

It is an arithmetic number, because the mean of its divisors is an integer number (4401566).

Almost surely, 2^528998400 is an apocalyptic number.

528998400 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 528998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109194632).

528998400 is an abundant number, since it is smaller than the sum of its proper divisors (1689390864).

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

528998400 is a wasteful number, since it uses less digits than its factorization.

528998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 528998400 is about 22999.9652173650. The cubic root of 528998400 is about 808.7571245253.

The spelling of 528998400 in words is "five hundred twenty-eight million, nine hundred ninety-eight thousand, four hundred".