29840594228928 has 168 divisors, whose sum is σ = 101372060188672. Its totient is φ = 8525884034304.

The previous prime is 29840594228833. The next prime is 29840594228933. The reversal of 29840594228928 is 82982249504892.

29840594228928 is a `hidden beast` number, since 2 + 9 + 8 + 4 + 0 + 594 + 2 + 2 + 8 + 9 + 28 = 666.

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

It is a super-2 number, since 2×29840594228928² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136945600 + ... + 137163327.

Almost surely, 2^{29840594228928} is an apocalyptic number.

29840594228928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

29840594228928 is an abundant number, since it is smaller than the sum of its proper divisors (71531465959744).

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

29840594228928 is an equidigital number, since it uses as much as digits as its factorization.

29840594228928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274108961 (or 274108939 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 72.

The spelling of 29840594228928 in words is "twenty-nine trillion, eight hundred forty billion, five hundred ninety-four million, two hundred twenty-eight thousand, nine hundred twenty-eight".