29628121600 has 480 divisors, whose sum is σ = 95571311616. Its totient is φ = 8826470400.

The previous prime is 29628121597. The next prime is 29628121613. The reversal of 29628121600 is 612182692.

It is a self number, because there is not a number n which added to its sum of digits gives 29628121600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22668147 + ... + 22669453.

Almost surely, 2^29628121600 is an apocalyptic number.

29628121600 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 29628121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47785655808).

29628121600 is an abundant number, since it is smaller than the sum of its proper divisors (65943190016).

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

29628121600 is a wasteful number, since it uses less digits than its factorization.

29628121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 29628121600 in words is "twenty-nine billion, six hundred twenty-eight million, one hundred twenty-one thousand, six hundred".