29928374400 has 384 divisors, whose sum is σ = 105271833600. Its totient is φ = 7451136000.

The previous prime is 29928374389. The next prime is 29928374449. The reversal of 29928374400 is 447382992.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 29928374400.

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, 12949245 + ... + 12951555.

It is an arithmetic number, because the mean of its divisors is an integer number (274145400).

Almost surely, 2^29928374400 is an apocalyptic number.

29928374400 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 29928374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52635916800).

29928374400 is an abundant number, since it is smaller than the sum of its proper divisors (75343459200).

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

29928374400 is a wasteful number, since it uses less digits than its factorization.

29928374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 29928374400 in words is "twenty-nine billion, nine hundred twenty-eight million, three hundred seventy-four thousand, four hundred".