1077129828 has 18 divisors (see below), whose sum is σ = 2722744934. Its totient is φ = 359043264.

The previous prime is 1077129827. The next prime is 1077129857. The reversal of 1077129828 is 8289217701.

It can be written as a sum of positive squares in only one way, i.e., 725117184 + 352012644 = 26928^2 + 18762^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (1077129821) 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, 14960101 + ... + 14960172.

Almost surely, 2^1077129828 is an apocalyptic number.

1077129828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1077129828 is an abundant number, since it is smaller than the sum of its proper divisors (1645615106).

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

1077129828 is a wasteful number, since it uses less digits than its factorization.

1077129828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29920283 (or 29920278 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The square root of 1077129828 is about 32819.6561225129. The cubic root of 1077129828 is about 1025.0758866679.

The spelling of 1077129828 in words is "one billion, seventy-seven million, one hundred twenty-nine thousand, eight hundred twenty-eight".