2729747628 has 60 divisors (see below), whose sum is σ = 7151776632. Its totient is φ = 907917120.

The previous prime is 2729747627. The next prime is 2729747633. The reversal of 2729747628 is 8267479272.

It is a happy number.

2729747628 is a `hidden beast` number, since 2 + 7 + 2 + 9 + 7 + 4 + 7 + 628 = 666.

It is a super-2 number, since 2×2729747628² = 14903044225143252768, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2729747627) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 142288 + ... + 160328.

Almost surely, 2^2729747628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2729747628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575888316).

2729747628 is an abundant number, since it is smaller than the sum of its proper divisors (4422029004).

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

2729747628 is a wasteful number, since it uses less digits than its factorization.

2729747628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18524 (or 18513 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The square root of 2729747628 is about 52246.9867839285. The cubic root of 2729747628 is about 1397.5719185171.

The spelling of 2729747628 in words is "two billion, seven hundred twenty-nine million, seven hundred forty-seven thousand, six hundred twenty-eight".