57826000 has 80 divisors (see below), whose sum is σ = 144789840. Its totient is φ = 22310400.

The previous prime is 57825997. The next prime is 57826003. The reversal of 57826000 is 62875.

57826000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57825997) and next prime (57826003).

It can be written as a sum of positive squares in 8 ways, for example, as 8433216 + 49392784 = 2904^2 + 7028^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 57826000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57826003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 57502 + ... + 58498.

It is an arithmetic number, because the mean of its divisors is an integer number (1809873).

Almost surely, 2^57826000 is an apocalyptic number.

57826000 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 57826000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72394920).

57826000 is an abundant number, since it is smaller than the sum of its proper divisors (86963840).

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

57826000 is a wasteful number, since it uses less digits than its factorization.

57826000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 57826000 is about 7604.3408655846. The cubic root of 57826000 is about 386.7001886646.

Adding to 57826000 its reverse (62875), we get a palindrome (57888875).

The spelling of 57826000 in words is "fifty-seven million, eight hundred twenty-six thousand".