29884728384 has 315 divisors, whose sum is σ = 103352310567. Its totient is φ = 8538493824.

The previous prime is 29884728373. The next prime is 29884728409. The reversal of 29884728384 is 48382748892.

The square root of 29884728384 is 172872.

It is a perfect power (a square), and thus also a powerful number.

29884728384 is a `hidden beast` number, since 2 + 9 + 8 + 8 + 472 + 83 + 84 = 666.

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=294.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

Its product of digits (49545216) is a multiple of the sum of its prime divisors (12).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4269246909 + ... + 4269246915.

Almost surely, 2^29884728384 is an apocalyptic number.

29884728384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

29884728384 is the 172872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29884728384

29884728384 is an abundant number, since it is smaller than the sum of its proper divisors (73467582183).

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

29884728384 is an frugal number, since it uses more digits than its factorization.

29884728384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 12 counting only the distinct ones).

The product of its digits is 49545216, while the sum is 63.

Multiplying 29884728384 by its sum of digits (63), we get a cube (1882737888192 = 12348³).

The spelling of 29884728384 in words is "twenty-nine billion, eight hundred eighty-four million, seven hundred twenty-eight thousand, three hundred eighty-four".