1142882208 has 288 divisors, whose sum is σ = 3713149440. Its totient is φ = 330946560.

The previous prime is 1142882201. The next prime is 1142882219. The reversal of 1142882208 is 8022882411.

1142882208 is a `hidden beast` number, since 1 + 1 + 428 + 8 + 220 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1142882201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4990638 + ... + 4990866.

It is an arithmetic number, because the mean of its divisors is an integer number (12892880).

Almost surely, 2^1142882208 is an apocalyptic number.

1142882208 is a gapful number since it is divisible by the number (18) 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 1142882208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856574720).

1142882208 is an abundant number, since it is smaller than the sum of its proper divisors (2570267232).

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

1142882208 is a wasteful number, since it uses less digits than its factorization.

1142882208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 1142882208 is about 33806.5409055703. The cubic root of 1142882208 is about 1045.5235605119.

It can be divided in two parts, 11428 and 82208, that added together give a square (93636 = 306²).

The spelling of 1142882208 in words is "one billion, one hundred forty-two million, eight hundred eighty-two thousand, two hundred eight".