1008728028 has 144 divisors (see below), whose sum is σ = 3210794496. Its totient is φ = 259390080.

The previous prime is 1008727991. The next prime is 1008728033. The reversal of 1008728028 is 8208278001.

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 = 1008727983 and 1008728001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283750 + ... + 287282.

It is an arithmetic number, because the mean of its divisors is an integer number (22297184).

Almost surely, 2^1008728028 is an apocalyptic number.

1008728028 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 1008728028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605397248).

1008728028 is an abundant number, since it is smaller than the sum of its proper divisors (2202066468).

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

1008728028 is a wasteful number, since it uses less digits than its factorization.

1008728028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3664 (or 3659 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 1008728028 is about 31760.4790266142. The cubic root of 1008728028 is about 1002.9009191971.

It can be divided in two parts, 100872 and 8028, that added together give a square (108900 = 330²).

The spelling of 1008728028 in words is "one billion, eight million, seven hundred twenty-eight thousand, twenty-eight".