528134400 has 324 divisors, whose sum is σ = 1934946468. Its totient is φ = 137379840.

The previous prime is 528134381. The next prime is 528134413. The reversal of 528134400 is 4431825.

528134400 is a `hidden beast` number, since 528 + 134 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 23503104 + 504631296 = 4848^2 + 22464^2 .

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, 3052714 + ... + 3052886.

It is an arithmetic number, because the mean of its divisors is an integer number (5972057).

Almost surely, 2^528134400 is an apocalyptic number.

528134400 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 528134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967473234).

528134400 is an abundant number, since it is smaller than the sum of its proper divisors (1406812068).

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

528134400 is a wasteful number, since it uses less digits than its factorization.

528134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 528134400 is about 22981.1749046910. The cubic root of 528134400 is about 808.3165769250.

The spelling of 528134400 in words is "five hundred twenty-eight million, one hundred thirty-four thousand, four hundred".