1028971600 has 60 divisors (see below), whose sum is σ = 2602234240. Its totient is φ = 389923200.

The previous prime is 1028971589. The next prime is 1028971609. The reversal of 1028971600 is 61798201.

It is a happy number.

1028971600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028971609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60096 + ... + 75295.

Almost surely, 2^1028971600 is an apocalyptic number.

1028971600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1028971600 is an abundant number, since it is smaller than the sum of its proper divisors (1573262640).

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

1028971600 is a wasteful number, since it uses less digits than its factorization.

1028971600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135428 (or 135417 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 1028971600 is about 32077.5871910591. The cubic root of 1028971600 is about 1009.5654111733.

The spelling of 1028971600 in words is "one billion, twenty-eight million, nine hundred seventy-one thousand, six hundred".