29828501856 has 96 divisors (see below), whose sum is σ = 87323896800. Its totient is φ = 9905794560.

The previous prime is 29828501849. The next prime is 29828501863. The reversal of 29828501856 is 65810582892.

It is a happy number.

29828501856 is a `hidden beast` number, since 2 + 9 + 82 + 8 + 501 + 8 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (29828501849) and next prime (29828501863).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168246 + ... + 296586.

It is an arithmetic number, because the mean of its divisors is an integer number (909623925).

Almost surely, 2^29828501856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29828501856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43661948400).

29828501856 is an abundant number, since it is smaller than the sum of its proper divisors (57495394944).

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

29828501856 is a wasteful number, since it uses less digits than its factorization.

29828501856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128629 (or 128615 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 29828501856 in words is "twenty-nine billion, eight hundred twenty-eight million, five hundred one thousand, eight hundred fifty-six".