29928829824 has 96 divisors (see below), whose sum is σ = 86247150600. Its totient is φ = 9961933824.

The previous prime is 29928829823. The next prime is 29928829871. The reversal of 29928829824 is 42892882992.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29928829823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 798447 + ... + 835089.

Almost surely, 2^29928829824 is an apocalyptic number.

29928829824 is a gapful number since it is divisible by the number (24) 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 29928829824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43123575300).

29928829824 is an abundant number, since it is smaller than the sum of its proper divisors (56318320776).

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

29928829824 is a wasteful number, since it uses less digits than its factorization.

29928829824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37372 (or 37357 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 63.

The spelling of 29928829824 in words is "twenty-nine billion, nine hundred twenty-eight million, eight hundred twenty-nine thousand, eight hundred twenty-four".