2857648500 has 288 divisors, whose sum is σ = 10436444928. Its totient is φ = 644716800.

The previous prime is 2857648499. The next prime is 2857648511. The reversal of 2857648500 is 58467582.

2857648500 is a `hidden beast` number, since 2 + 85 + 7 + 64 + 8 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2613954 + ... + 2615046.

It is an arithmetic number, because the mean of its divisors is an integer number (36237656).

Almost surely, 2^2857648500 is an apocalyptic number.

2857648500 is a gapful number since it is divisible by the number (20) 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 2857648500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5218222464).

2857648500 is an abundant number, since it is smaller than the sum of its proper divisors (7578796428).

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

2857648500 is a wasteful number, since it uses less digits than its factorization.

2857648500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 2857648500 is about 53456.9780290656. The cubic root of 2857648500 is about 1419.0671152292.

The spelling of 2857648500 in words is "two billion, eight hundred fifty-seven million, six hundred forty-eight thousand, five hundred".