29001728 has 108 divisors (see below), whose sum is σ = 71658405. Its totient is φ = 11698176.

The previous prime is 29001727. The next prime is 29001757. The reversal of 29001728 is 82710092.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 26543104 + 2458624 = 5152^2 + 1568^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=3808.

It is a super-2 number, since 2×29001728² = 1682200453971968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 29001728.

It is not an unprimeable number, because it can be changed into a prime (29001727) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1705976 + ... + 1705992.

Almost surely, 2^29001728 is an apocalyptic number.

29001728 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 29001728

29001728 is an abundant number, since it is smaller than the sum of its proper divisors (42656677).

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

29001728 is an equidigital number, since it uses as much as digits as its factorization.

29001728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 29001728 is about 5385.3252455167. The cubic root of 29001728 is about 307.2377847043.

The spelling of 29001728 in words is "twenty-nine million, one thousand, seven hundred twenty-eight".