29928515672 has 32 divisors (see below), whose sum is σ = 61241875200. Its totient is φ = 13598436000.

The previous prime is 29928515671. The next prime is 29928515681. The reversal of 29928515672 is 27651582992.

It is a super-3 number, since 3×29928515672³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29928515671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157829 + ... + 291147.

It is an arithmetic number, because the mean of its divisors is an integer number (1913808600).

Almost surely, 2^29928515672 is an apocalyptic number.

29928515672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

29928515672 is an abundant number, since it is smaller than the sum of its proper divisors (31313359528).

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

29928515672 is a wasteful number, since it uses less digits than its factorization.

29928515672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135887 (or 135883 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 56.

The spelling of 29928515672 in words is "twenty-nine billion, nine hundred twenty-eight million, five hundred fifteen thousand, six hundred seventy-two".