29279052 has 72 divisors (see below), whose sum is σ = 81611712. Its totient is φ = 8776800.

The previous prime is 29279021. The next prime is 29279053. The reversal of 29279052 is 25097292.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 29278998 and 29279016.

It is not an unprimeable number, because it can be changed into a prime (29279053) 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, 42027 + ... + 42717.

It is an arithmetic number, because the mean of its divisors is an integer number (1133496).

Almost surely, 2^29279052 is an apocalyptic number.

29279052 is a gapful number since it is divisible by the number (22) 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 29279052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40805856).

29279052 is an abundant number, since it is smaller than the sum of its proper divisors (52332660).

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

29279052 is a wasteful number, since it uses less digits than its factorization.

29279052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 29279052 is about 5411.0121049578. The cubic root of 29279052 is about 308.2139824087.

The spelling of 29279052 in words is "twenty-nine million, two hundred seventy-nine thousand, fifty-two".