1027208628 has 72 divisors (see below), whose sum is σ = 2834497120. Its totient is φ = 324375840.

The previous prime is 1027208621. The next prime is 1027208659. The reversal of 1027208628 is 8268027201.

It is a happy number.

1027208628 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 20 + 8 + 628 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1027208592 and 1027208601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027208621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9343 + ... + 46278.

Almost surely, 2^1027208628 is an apocalyptic number.

1027208628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1027208628 is an abundant number, since it is smaller than the sum of its proper divisors (1807288492).

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

1027208628 is a wasteful number, since it uses less digits than its factorization.

1027208628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55659 (or 55645 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1027208628 is about 32050.0956004814. The cubic root of 1027208628 is about 1008.9885073323.

The spelling of 1027208628 in words is "one billion, twenty-seven million, two hundred eight thousand, six hundred twenty-eight".