1728668628 has 120 divisors (see below), whose sum is σ = 4665357312. Its totient is φ = 557819136.

The previous prime is 1728668587. The next prime is 1728668629. The reversal of 1728668628 is 8268668271.

1728668628 is a `hidden beast` number, since 1 + 7 + 2 + 8 + 6 + 6 + 8 + 628 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3096576) is a multiple of the sum of its prime divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1728668629) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1768876 + ... + 1769852.

Almost surely, 2^1728668628 is an apocalyptic number.

1728668628 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 1728668628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332678656).

1728668628 is an abundant number, since it is smaller than the sum of its proper divisors (2936688684).

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

1728668628 is a wasteful number, since it uses less digits than its factorization.

1728668628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1152 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 1728668628 is about 41577.2609487446. The cubic root of 1728668628 is about 1200.1547550415.

The spelling of 1728668628 in words is "one billion, seven hundred twenty-eight million, six hundred sixty-eight thousand, six hundred twenty-eight".