52888000 has 112 divisors (see below), whose sum is σ = 143121888. Its totient is φ = 19200000.

The previous prime is 52887973. The next prime is 52888009. The reversal of 52888000 is 88825.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52888009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87700 + ... + 88300.

It is an arithmetic number, because the mean of its divisors is an integer number (1277874).

Almost surely, 2^52888000 is an apocalyptic number.

52888000 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 52888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71560944).

52888000 is an abundant number, since it is smaller than the sum of its proper divisors (90233888).

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

52888000 is a wasteful number, since it uses less digits than its factorization.

52888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 31.

The square root of 52888000 is about 7272.4136296006. The cubic root of 52888000 is about 375.3637951090.

It can be divided in two parts, 5 and 2888000, that multiplied together give a square (14440000 = 3800²).

The spelling of 52888000 in words is "fifty-two million, eight hundred eighty-eight thousand".