1034066628 has 96 divisors (see below), whose sum is σ = 3162808320. Its totient is φ = 285910560.

The previous prime is 1034066581. The next prime is 1034066647. The reversal of 1034066628 is 8266604301.

1034066628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1034066628² = 2138587582286580768, which contains 22 as substring.

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 = 1034066592 and 1034066601.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1375 + ... + 45497.

It is an arithmetic number, because the mean of its divisors is an integer number (32945920).

Almost surely, 2^1034066628 is an apocalyptic number.

1034066628 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 1034066628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581404160).

1034066628 is an abundant number, since it is smaller than the sum of its proper divisors (2128741692).

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

1034066628 is a wasteful number, since it uses less digits than its factorization.

1034066628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44174 (or 44166 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1034066628 is about 32156.9063810560. The cubic root of 1034066628 is about 1011.2289807049.

The spelling of 1034066628 in words is "one billion, thirty-four million, sixty-six thousand, six hundred twenty-eight".