1028079000 has 512 divisors, whose sum is σ = 4009824000. Its totient is φ = 241920000.

The previous prime is 1028078993. The next prime is 1028079007. The reversal of 1028079000 is 9708201.

It is an interprime number because it is at equal distance from previous prime (1028078993) and next prime (1028079007).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028079007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10178950 + ... + 10179050.

Almost surely, 2^1028079000 is an apocalyptic number.

1028079000 is a gapful number since it is divisible by the number (10) 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 1028079000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004912000).

1028079000 is an abundant number, since it is smaller than the sum of its proper divisors (2981745000).

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

1028079000 is a wasteful number, since it uses less digits than its factorization.

1028079000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1028079000 is about 32063.6710312466. The cubic root of 1028079000 is about 1009.2734048046.

The spelling of 1028079000 in words is "one billion, twenty-eight million, seventy-nine thousand".