29272628 has 48 divisors (see below), whose sum is σ = 64568448. Its totient is φ = 11280000.

The previous prime is 29272627. The next prime is 29272643. The reversal of 29272628 is 82627292.

It is a junction number, because it is equal to n+sod(n) for n = 29272591 and 29272600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29272627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30638 + ... + 31578.

It is an arithmetic number, because the mean of its divisors is an integer number (1345176).

Almost surely, 2^29272628 is an apocalyptic number.

29272628 is a gapful number since it is divisible by the number (28) 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 29272628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32284224).

29272628 is an abundant number, since it is smaller than the sum of its proper divisors (35295820).

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

29272628 is a wasteful number, since it uses less digits than its factorization.

29272628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1062 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 29272628 is about 5410.4184681039. The cubic root of 29272628 is about 308.1914394265.

It can be divided in two parts, 2927 and 2628, that added together give a palindrome (5555).

The spelling of 29272628 in words is "twenty-nine million, two hundred seventy-two thousand, six hundred twenty-eight".