1028626500 has 192 divisors, whose sum is σ = 3374751744. Its totient is φ = 241200000.

The previous prime is 1028626483. The next prime is 1028626519. The reversal of 1028626500 is 56268201.

1028626500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 510495 + ... + 512505.

It is an arithmetic number, because the mean of its divisors is an integer number (17576832).

Almost surely, 2^1028626500 is an apocalyptic number.

1028626500 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 1028626500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687375872).

1028626500 is an abundant number, since it is smaller than the sum of its proper divisors (2346125244).

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

1028626500 is a wasteful number, since it uses less digits than its factorization.

1028626500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1028626500 is about 32072.2075947385. The cubic root of 1028626500 is about 1009.4525347247.

The spelling of 1028626500 in words is "one billion, twenty-eight million, six hundred twenty-six thousand, five hundred".