1267506828 has 144 divisors (see below), whose sum is σ = 3808546560. Its totient is φ = 347760000.

The previous prime is 1267506803. The next prime is 1267506833. The reversal of 1267506828 is 8286057621.

1267506828 is a `hidden beast` number, since 1 + 2 + 67 + 506 + 82 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1833963 + ... + 1834653.

It is an arithmetic number, because the mean of its divisors is an integer number (26448240).

Almost surely, 2^1267506828 is an apocalyptic number.

1267506828 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 1267506828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904273280).

1267506828 is an abundant number, since it is smaller than the sum of its proper divisors (2541039732).

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

1267506828 is a wasteful number, since it uses less digits than its factorization.

1267506828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 1267506828 is about 35602.0621312867. The cubic root of 1267506828 is about 1082.2230239675.

The spelling of 1267506828 in words is "one billion, two hundred sixty-seven million, five hundred six thousand, eight hundred twenty-eight".