1291862628 has 192 divisors, whose sum is σ = 3985408000. Its totient is φ = 354119040.

The previous prime is 1291862617. The next prime is 1291862639. The reversal of 1291862628 is 8262681921.

1291862628 is a `hidden beast` number, since 1 + 2 + 9 + 18 + 6 + 2 + 628 = 666.

It is an interprime number because it is at equal distance from previous prime (1291862617) and next prime (1291862639).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4663626 + ... + 4663902.

Almost surely, 2^1291862628 is an apocalyptic number.

1291862628 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 1291862628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992704000).

1291862628 is an abundant number, since it is smaller than the sum of its proper divisors (2693545372).

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

1291862628 is a wasteful number, since it uses less digits than its factorization.

1291862628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 519 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 1291862628 is about 35942.4905647897. The cubic root of 1291862628 is about 1089.1109176765.

The spelling of 1291862628 in words is "one billion, two hundred ninety-one million, eight hundred sixty-two thousand, six hundred twenty-eight".