29768628708 has 288 divisors, whose sum is σ = 100545177600. Its totient is φ = 7437246336.

The previous prime is 29768628671. The next prime is 29768628749. The reversal of 29768628708 is 80782686792.

29768628708 is a `hidden beast` number, since 297 + 68 + 6 + 287 + 0 + 8 = 666.

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

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, 2421385 + ... + 2433647.

It is an arithmetic number, because the mean of its divisors is an integer number (349115200).

Almost surely, 2^29768628708 is an apocalyptic number.

29768628708 is a gapful number since it is divisible by the number (28) 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 29768628708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50272588800).

29768628708 is an abundant number, since it is smaller than the sum of its proper divisors (70776548892).

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

29768628708 is a wasteful number, since it uses less digits than its factorization.

29768628708 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12328 (or 12307 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 29768628708 in words is "twenty-nine billion, seven hundred sixty-eight million, six hundred twenty-eight thousand, seven hundred eight".