29828463840 has 1008 divisors, whose sum is σ = 130559969232. Its totient is φ = 6395977728.

The previous prime is 29828463829. The next prime is 29828463887. The reversal of 29828463840 is 4836482892.

29828463840 is a `hidden beast` number, since 29 + 82 + 8 + 463 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-3 number, since 3×29828463840³ (a number of 32 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 97160967 + ... + 97161273.

It is an arithmetic number, because the mean of its divisors is an integer number (129523779).

Almost surely, 2^29828463840 is an apocalyptic number.

29828463840 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 29828463840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65279984616).

29828463840 is an abundant number, since it is smaller than the sum of its proper divisors (100731505392).

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

29828463840 is a wasteful number, since it uses less digits than its factorization.

29828463840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 29828463840 in words is "twenty-nine billion, eight hundred twenty-eight million, four hundred sixty-three thousand, eight hundred forty".