1034166528 has 180 divisors, whose sum is σ = 3145219308. Its totient is φ = 337858560.

The previous prime is 1034166509. The next prime is 1034166563. The reversal of 1034166528 is 8256614301.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 694427904 + 339738624 = 26352^2 + 18432^2 .

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 = 1034166492 and 1034166501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1098538 + ... + 1099478.

Almost surely, 2^1034166528 is an apocalyptic number.

1034166528 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 1034166528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572609654).

1034166528 is an abundant number, since it is smaller than the sum of its proper divisors (2111052780).

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

1034166528 is an frugal number, since it uses more digits than its factorization.

1034166528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1034166528 is about 32158.4596646046. The cubic root of 1034166528 is about 1011.2615442166.

The spelling of 1034166528 in words is "one billion, thirty-four million, one hundred sixty-six thousand, five hundred twenty-eight".