53528000 has 56 divisors (see below), whose sum is σ = 132581904. Its totient is φ = 21408000.

The previous prime is 53527993. The next prime is 53528003. The reversal of 53528000 is 82535.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53528003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4655 + ... + 11345.

It is an arithmetic number, because the mean of its divisors is an integer number (2367534).

Almost surely, 2^53528000 is an apocalyptic number.

53528000 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 53528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66290952).

53528000 is an abundant number, since it is smaller than the sum of its proper divisors (79053904).

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

53528000 is an equidigital number, since it uses as much as digits as its factorization.

53528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6718 (or 6698 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 53528000 is about 7316.2832093899. The cubic root of 53528000 is about 376.8718263490.

It can be divided in two parts, 5 and 3528000, that multiplied together give a square (17640000 = 4200²).

The spelling of 53528000 in words is "fifty-three million, five hundred twenty-eight thousand".