29286144 has 144 divisors (see below), whose sum is σ = 91571200. Its totient is φ = 9206784.

The previous prime is 29286137. The next prime is 29286197. The reversal of 29286144 is 44168292.

It is a tau number, because it is divible by the number of its divisors (144).

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 nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 29286099 and 29286108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131217 + ... + 131439.

Almost surely, 2^29286144 is an apocalyptic number.

29286144 is a gapful number since it is divisible by the number (24) 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 29286144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45785600).

29286144 is an abundant number, since it is smaller than the sum of its proper divisors (62285056).

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

29286144 is a wasteful number, since it uses less digits than its factorization.

29286144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 247 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 29286144 is about 5411.6673955446. The cubic root of 29286144 is about 308.2388656950.

It can be divided in two parts, 292 and 86144, that added together give a square (86436 = 294²).

The spelling of 29286144 in words is "twenty-nine million, two hundred eighty-six thousand, one hundred forty-four".