29828744100 has 405 divisors, whose sum is σ = 103070356851. Its totient is φ = 7461072000.

The previous prime is 29828744069. The next prime is 29828744111. The reversal of 29828744100 is 144782892.

The square root of 29828744100 is 172710.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5507717796 + 24321026304 = 74214^2 + 155952^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 295334050 + ... + 295334150.

Almost surely, 2^29828744100 is an apocalyptic number.

29828744100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

29828744100 is the 172710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29828744100

29828744100 is an abundant number, since it is smaller than the sum of its proper divisors (73241612751).

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

29828744100 is a wasteful number, since it uses less digits than its factorization.

29828744100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 29828744100 in words is "twenty-nine billion, eight hundred twenty-eight million, seven hundred forty-four thousand, one hundred".