1028627200 has 54 divisors (see below), whose sum is σ = 2546028884. Its totient is φ = 411448320.

The previous prime is 1028627179. The next prime is 1028627207. The reversal of 1028627200 is 27268201.

1028627200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1028627207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73962 + ... + 86761.

Almost surely, 2^1028627200 is an apocalyptic number.

1028627200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1028627200 is an abundant number, since it is smaller than the sum of its proper divisors (1517401684).

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

1028627200 is an equidigital number, since it uses as much as digits as its factorization.

1028627200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160749 (or 160730 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 1028627200 is about 32072.2185076118. The cubic root of 1028627200 is about 1009.4527637085.

The spelling of 1028627200 in words is "one billion, twenty-eight million, six hundred twenty-seven thousand, two hundred".