1017155628 has 144 divisors (see below), whose sum is σ = 2839898880. Its totient is φ = 305528832.

The previous prime is 1017155617. The next prime is 1017155687. The reversal of 1017155628 is 8265517101.

1017155628 is a `hidden beast` number, since 1 + 0 + 17 + 15 + 5 + 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 = 1017155592 and 1017155601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3957676 + ... + 3957932.

It is an arithmetic number, because the mean of its divisors is an integer number (19721520).

Almost surely, 2^1017155628 is an apocalyptic number.

1017155628 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 1017155628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419949440).

1017155628 is an abundant number, since it is smaller than the sum of its proper divisors (1822743252).

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

1017155628 is a wasteful number, since it uses less digits than its factorization.

1017155628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The square root of 1017155628 is about 31892.8773866517. The cubic root of 1017155628 is about 1005.6861490931.

The spelling of 1017155628 in words is "one billion, seventeen million, one hundred fifty-five thousand, six hundred twenty-eight".