1016945028 has 72 divisors (see below), whose sum is σ = 2846232480. Its totient is φ = 303557760.

The previous prime is 1016945021. The next prime is 1016945029. The reversal of 1016945028 is 8205496101.

1016945028 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 1016944983 and 1016945001.

It is not an unprimeable number, because it can be changed into a prime (1016945021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7368 + ... + 45696.

Almost surely, 2^1016945028 is an apocalyptic number.

1016945028 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 1016945028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423116240).

1016945028 is an abundant number, since it is smaller than the sum of its proper divisors (1829287452).

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

1016945028 is a wasteful number, since it uses less digits than its factorization.

1016945028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38417 (or 38412 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1016945028 is about 31889.5755380971. The cubic root of 1016945028 is about 1005.6167358797.

The spelling of 1016945028 in words is "one billion, sixteen million, nine hundred forty-five thousand, twenty-eight".