528801100 has 72 divisors (see below), whose sum is σ = 1212366848. Its totient is φ = 199886400.

The previous prime is 528801083. The next prime is 528801101. The reversal of 528801100 is 1108825.

It is a super-2 number, since 2×528801100² = 559261206722420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (528801101) 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, 131317 + ... + 135283.

Almost surely, 2^528801100 is an apocalyptic number.

528801100 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 528801100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606183424).

528801100 is an abundant number, since it is smaller than the sum of its proper divisors (683565748).

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

528801100 is a wasteful number, since it uses less digits than its factorization.

528801100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4055 (or 4048 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 25.

The square root of 528801100 is about 22995.6756804404. The cubic root of 528801100 is about 808.6565649125.

Adding to 528801100 its reverse (1108825), we get a palindrome (529909925).

The spelling of 528801100 in words is "five hundred twenty-eight million, eight hundred one thousand, one hundred".