52878000 has 160 divisors (see below), whose sum is σ = 194987520. Its totient is φ = 12076800.

The previous prime is 52877999. The next prime is 52878029. The reversal of 52878000 is 87825.

52878000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41371 + ... + 42629.

It is an arithmetic number, because the mean of its divisors is an integer number (1218672).

Almost surely, 2^52878000 is an apocalyptic number.

52878000 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 52878000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97493760).

52878000 is an abundant number, since it is smaller than the sum of its proper divisors (142109520).

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

52878000 is a wasteful number, since it uses less digits than its factorization.

52878000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 52878000 is about 7271.7260674478. The cubic root of 52878000 is about 375.3401358381.

The spelling of 52878000 in words is "fifty-two million, eight hundred seventy-eight thousand".