1028504628 has 60 divisors (see below), whose sum is σ = 2699639712. Its totient is φ = 341442000.

The previous prime is 1028504623. The next prime is 1028504629. The reversal of 1028504628 is 8264058201.

1028504628 is a `hidden beast` number, since 1 + 0 + 28 + 5 + 0 + 4 + 628 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1028504592 and 1028504601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028504623) 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 19 ways as a sum of consecutive naturals, for example, 75001 + ... + 87647.

Almost surely, 2^1028504628 is an apocalyptic number.

1028504628 is a gapful number since it is divisible by the number (18) 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 1028504628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349819856).

1028504628 is an abundant number, since it is smaller than the sum of its proper divisors (1671135084).

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

1028504628 is a wasteful number, since it uses less digits than its factorization.

1028504628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12914 (or 12903 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1028504628 is about 32070.3075757000. The cubic root of 1028504628 is about 1009.4126663959.

The spelling of 1028504628 in words is "one billion, twenty-eight million, five hundred four thousand, six hundred twenty-eight".