2827863360 has 224 divisors, whose sum is σ = 11401470720. Its totient is φ = 646354944.

The previous prime is 2827863349. The next prime is 2827863371. The reversal of 2827863360 is 633687282.

2827863360 is a `hidden beast` number, since 2 + 8 + 2 + 7 + 8 + 633 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2827863349) and next prime (2827863371).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×2827863360² = 15993622365660979200, which contains 22 as substring.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37102 + ... + 83858.

Almost surely, 2^2827863360 is an apocalyptic number.

2827863360 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 2827863360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5700735360).

2827863360 is an abundant number, since it is smaller than the sum of its proper divisors (8573607360).

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

2827863360 is a wasteful number, since it uses less digits than its factorization.

2827863360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46790 (or 46774 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2827863360 is about 53177.6584666907. The cubic root of 2827863360 is about 1414.1195953386.

It can be divided in two parts, 282786 and 3360, that added together give a triangular number (286146 = T₇₅₆).

The spelling of 2827863360 in words is "two billion, eight hundred twenty-seven million, eight hundred sixty-three thousand, three hundred sixty".