1248662628 has 60 divisors (see below), whose sum is σ = 3376836540. Its totient is φ = 401865408.

The previous prime is 1248662627. The next prime is 1248662629. The reversal of 1248662628 is 8262668421.

1248662628 is a `hidden beast` number, since 12 + 4 + 8 + 6 + 6 + 2 + 628 = 666.

It is an interprime number because it is at equal distance from previous prime (1248662627) and next prime (1248662629).

It can be written as a sum of positive squares in 2 ways, for example, as 962985024 + 285677604 = 31032^2 + 16902^2 .

It is not an unprimeable number, because it can be changed into a prime (1248662627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57051 + ... + 75842.

It is an arithmetic number, because the mean of its divisors is an integer number (56280609).

Almost surely, 2^1248662628 is an apocalyptic number.

1248662628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1248662628 is an abundant number, since it is smaller than the sum of its proper divisors (2128173912).

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

1248662628 is a wasteful number, since it uses less digits than its factorization.

1248662628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132938 (or 132927 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 1248662628 is about 35336.4207015934. The cubic root of 1248662628 is about 1076.8330371760.

The spelling of 1248662628 in words is "one billion, two hundred forty-eight million, six hundred sixty-two thousand, six hundred twenty-eight".