1006128288 has 72 divisors (see below), whose sum is σ = 3121294176. Its totient is φ = 304886400.

The previous prime is 1006128259. The next prime is 1006128293. The reversal of 1006128288 is 8828216001.

1006128288 is a `hidden beast` number, since 10 + 0 + 612 + 8 + 28 + 8 = 666.

1006128288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155628 + ... + 161963.

It is an arithmetic number, because the mean of its divisors is an integer number (43351308).

Almost surely, 2^1006128288 is an apocalyptic number.

1006128288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1006128288 is an abundant number, since it is smaller than the sum of its proper divisors (2115165888).

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

1006128288 is a wasteful number, since it uses less digits than its factorization.

1006128288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317618 (or 317607 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1006128288 is about 31719.5253432330. The cubic root of 1006128288 is about 1002.0386039366.

It can be divided in two parts, 100612 and 8288, that added together give a square (108900 = 330²).

The spelling of 1006128288 in words is "one billion, six million, one hundred twenty-eight thousand, two hundred eighty-eight".