29690540928 has 384 divisors, whose sum is σ = 92136844800. Its totient is φ = 9510359040.

The previous prime is 29690540923. The next prime is 29690540941. The reversal of 29690540928 is 82904509692.

It is a happy number.

29690540928 is a `hidden beast` number, since 2 + 9 + 6 + 9 + 0 + 540 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29690540923) 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, 105660148 + ... + 105660428.

It is an arithmetic number, because the mean of its divisors is an integer number (239939700).

Almost surely, 2^29690540928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29690540928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46068422400).

29690540928 is an abundant number, since it is smaller than the sum of its proper divisors (62446303872).

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

29690540928 is an equidigital number, since it uses as much as digits as its factorization.

29690540928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 29690540928 in words is "twenty-nine billion, six hundred ninety million, five hundred forty thousand, nine hundred twenty-eight".