528078400 has 168 divisors, whose sum is σ = 1417320000. Its totient is φ = 192890880.

The previous prime is 528078377. The next prime is 528078407. The reversal of 528078400 is 4870825.

It is not an unprimeable number, because it can be changed into a prime (528078407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 881301 + ... + 881899.

Almost surely, 2^528078400 is an apocalyptic number.

528078400 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 528078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708660000).

528078400 is an abundant number, since it is smaller than the sum of its proper divisors (889241600).

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

528078400 is a wasteful number, since it uses less digits than its factorization.

528078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 528078400 is about 22979.9564838578. The cubic root of 528078400 is about 808.2880063387.

The spelling of 528078400 in words is "five hundred twenty-eight million, seventy-eight thousand, four hundred".