29028246000 has 640 divisors, whose sum is σ = 107145642240. Its totient is φ = 6709248000.

The previous prime is 29028245969. The next prime is 29028246031. The reversal of 29028246000 is 64282092.

It is an interprime number because it is at equal distance from previous prime (29028245969) and next prime (29028246031).

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, 92741844 + ... + 92742156.

It is an arithmetic number, because the mean of its divisors is an integer number (167415066).

Almost surely, 2^29028246000 is an apocalyptic number.

29028246000 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 29028246000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53572821120).

29028246000 is an abundant number, since it is smaller than the sum of its proper divisors (78117396240).

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

29028246000 is a wasteful number, since it uses less digits than its factorization.

29028246000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 29028246000 in words is "twenty-nine billion, twenty-eight million, two hundred forty-six thousand".