29828736000 has 1056 divisors, whose sum is σ = 128325480192. Its totient is φ = 6768230400.

The previous prime is 29828735969. The next prime is 29828736017. The reversal of 29828736000 is 63782892.

29828736000 is a `hidden beast` number, since 2 + 9 + 8 + 287 + 360 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 217727932 + ... + 217728068.

Almost surely, 2^29828736000 is an apocalyptic number.

29828736000 is a gapful number since it is divisible by the number (20) 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 29828736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64162740096).

29828736000 is an abundant number, since it is smaller than the sum of its proper divisors (98496744192).

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

29828736000 is an equidigital number, since it uses as much as digits as its factorization.

29828736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 29828736000 in words is "twenty-nine billion, eight hundred twenty-eight million, seven hundred thirty-six thousand".