29628048384 has 297 divisors, whose sum is σ = 94615117779. Its totient is φ = 8923115520.

The previous prime is 29628048379. The next prime is 29628048403. The reversal of 29628048384 is 48384082692.

The square root of 29628048384 is 172128.

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

29628048384 is a `hidden beast` number, since 2 + 9 + 6 + 2 + 80 + 483 + 84 = 666.

It is a super-2 number, since 2×29628048384² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 29628048384.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 181767087 + ... + 181767249.

Almost surely, 2^29628048384 is an apocalyptic number.

29628048384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

29628048384 is the 172128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29628048384

29628048384 is an abundant number, since it is smaller than the sum of its proper divisors (64987069395).

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

29628048384 is a wasteful number, since it uses less digits than its factorization.

29628048384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 29628048384 in words is "twenty-nine billion, six hundred twenty-eight million, forty-eight thousand, three hundred eighty-four".