29228547040 has 288 divisors, whose sum is σ = 88384449888. Its totient is φ = 9106944000.

The previous prime is 29228547011. The next prime is 29228547043. The reversal of 29228547040 is 4074582292.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29228547043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10433640 + ... + 10436440.

It is an arithmetic number, because the mean of its divisors is an integer number (306890451).

Almost surely, 2^29228547040 is an apocalyptic number.

29228547040 is a gapful number since it is divisible by the number (20) 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 29228547040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44192224944).

29228547040 is an abundant number, since it is smaller than the sum of its proper divisors (59155902848).

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

29228547040 is a wasteful number, since it uses less digits than its factorization.

29228547040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2863 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 29228547040 in words is "twenty-nine billion, two hundred twenty-eight million, five hundred forty-seven thousand, forty".