1029828144 has 40 divisors (see below), whose sum is σ = 2692452672. Its totient is φ = 339138880.

The previous prime is 1029828131. The next prime is 1029828179. The reversal of 1029828144 is 4418289201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125262 + ... + 133229.

Almost surely, 2^1029828144 is an apocalyptic number.

It is an amenable number.

1029828144 is an abundant number, since it is smaller than the sum of its proper divisors (1662624528).

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

1029828144 is a wasteful number, since it uses less digits than its factorization.

1029828144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258585 (or 258579 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 1029828144 is about 32090.9355426108. The cubic root of 1029828144 is about 1009.8454633999.

The spelling of 1029828144 in words is "one billion, twenty-nine million, eight hundred twenty-eight thousand, one hundred forty-four".