1028028672 has 180 divisors, whose sum is σ = 3344809776. Its totient is φ = 311454720.

The previous prime is 1028028643. The next prime is 1028028679. The reversal of 1028028672 is 2768208201.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1028028679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 225843 + ... + 230349.

Almost surely, 2^1028028672 is an apocalyptic number.

1028028672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1028028672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672404888).

1028028672 is an abundant number, since it is smaller than the sum of its proper divisors (2316781104).

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

1028028672 is an equidigital number, since it uses as much as digits as its factorization.

1028028672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4546 (or 4523 counting only the distinct ones).

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

The square root of 1028028672 is about 32062.8862082003. The cubic root of 1028028672 is about 1009.2569354021.

The spelling of 1028028672 in words is "one billion, twenty-eight million, twenty-eight thousand, six hundred seventy-two".