29389248 has 168 divisors, whose sum is σ = 99376992. Its totient is φ = 8128512.

The previous prime is 29389231. The next prime is 29389249. The reversal of 29389248 is 84298392.

29389248 is a `hidden beast` number, since 29 + 389 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29389249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149086 + ... + 149282.

Almost surely, 2^29389248 is an apocalyptic number.

29389248 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 29389248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49688496).

29389248 is an abundant number, since it is smaller than the sum of its proper divisors (69987744).

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

29389248 is a wasteful number, since it uses less digits than its factorization.

29389248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 246 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 29389248 is about 5421.1851102872. The cubic root of 29389248 is about 308.6001678112.

The spelling of 29389248 in words is "twenty-nine million, three hundred eighty-nine thousand, two hundred forty-eight".