29284128 has 36 divisors (see below), whose sum is σ = 83277558. Its totient is φ = 9761280.

The previous prime is 29284121. The next prime is 29284153. The reversal of 29284128 is 82148292.

It can be written as a sum of positive squares in only one way, i.e., 26501904 + 2782224 = 5148^2 + 1668^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 29284092 and 29284101.

It is not an unprimeable number, because it can be changed into a prime (29284121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50553 + ... + 51128.

Almost surely, 2^29284128 is an apocalyptic number.

It is an amenable number.

29284128 is an abundant number, since it is smaller than the sum of its proper divisors (53993430).

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

29284128 is a wasteful number, since it uses less digits than its factorization.

29284128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101697 (or 101686 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 29284128 is about 5411.4811281201. The cubic root of 29284128 is about 308.2317926822.

It can be divided in two parts, 2928 and 4128, that added together give a square (7056 = 84²).

The spelling of 29284128 in words is "twenty-nine million, two hundred eighty-four thousand, one hundred twenty-eight".