29283152640 has 432 divisors, whose sum is σ = 114532024320. Its totient is φ = 6340239360.

The previous prime is 29283152623. The next prime is 29283152653. The reversal of 29283152640 is 4625138292.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 29283152592 and 29283152601.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3570945 + ... + 3579135.

Almost surely, 2^29283152640 is an apocalyptic number.

29283152640 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 29283152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57266012160).

29283152640 is an abundant number, since it is smaller than the sum of its proper divisors (85248871680).

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

29283152640 is a wasteful number, since it uses less digits than its factorization.

29283152640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8248 (or 8227 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 29283152640 in words is "twenty-nine billion, two hundred eighty-three million, one hundred fifty-two thousand, six hundred forty".