29828478960 has 640 divisors, whose sum is σ = 123634944000. Its totient is φ = 6465650688.

The previous prime is 29828478943. The next prime is 29828478971. The reversal of 29828478960 is 6987482892.

29828478960 is a `hidden beast` number, since 29 + 82 + 8 + 478 + 9 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25869744 + ... + 25870896.

It is an arithmetic number, because the mean of its divisors is an integer number (193179600).

Almost surely, 2^29828478960 is an apocalyptic number.

29828478960 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 29828478960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61817472000).

29828478960 is an abundant number, since it is smaller than the sum of its proper divisors (93806465040).

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

29828478960 is a wasteful number, since it uses less digits than its factorization.

29828478960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 29828478960 in words is "twenty-nine billion, eight hundred twenty-eight million, four hundred seventy-eight thousand, nine hundred sixty".