2729628 has 72 divisors (see below), whose sum is σ = 7718256. Its totient is φ = 806400.

The previous prime is 2729593. The next prime is 2729633. The reversal of 2729628 is 8269272.

2729628 is a `hidden beast` number, since 2 + 7 + 29 + 628 = 666.

2729628 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

2729628 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

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 = 2729592 and 2729601.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 24100 + ... + 24212.

It is an arithmetic number, because the mean of its divisors is an integer number (107198).

2^2729628 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 2729628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3859128).

2729628 is an abundant number, since it is smaller than the sum of its proper divisors (4988628).

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

2729628 is a wasteful number, since it uses less digits than its factorization.

2729628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 190 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 2729628 is about 1652.1585880296. The cubic root of 2729628 is about 139.7551502567.

The spelling of 2729628 in words is "two million, seven hundred twenty-nine thousand, six hundred twenty-eight".