29248801920 has 1536 divisors, whose sum is σ = 127993582080. Its totient is φ = 6306398208.

The previous prime is 29248801891. The next prime is 29248801993. The reversal of 29248801920 is 2910884292.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 790508142 + ... + 790508178.

It is an arithmetic number, because the mean of its divisors is an integer number (83329155).

Almost surely, 2^29248801920 is an apocalyptic number.

29248801920 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 29248801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63996791040).

29248801920 is an abundant number, since it is smaller than the sum of its proper divisors (98744780160).

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

29248801920 is a wasteful number, since it uses less digits than its factorization.

29248801920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 29248801920 in words is "twenty-nine billion, two hundred forty-eight million, eight hundred one thousand, nine hundred twenty".