29022271488 has 336 divisors, whose sum is σ = 99470957040. Its totient is φ = 8289091584.

The previous prime is 29022271469. The next prime is 29022271489. The reversal of 29022271488 is 88417222092.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×29022271488³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29022271489) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 10449556 + ... + 10452332.

It is an arithmetic number, because the mean of its divisors is an integer number (296044515).

Almost surely, 2^29022271488 is an apocalyptic number.

29022271488 is a gapful number since it is divisible by the number (28) 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 29022271488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49735478520).

29022271488 is an abundant number, since it is smaller than the sum of its proper divisors (70448685552).

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

29022271488 is an frugal number, since it uses more digits than its factorization.

29022271488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2824 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 29022271488 in words is "twenty-nine billion, twenty-two million, two hundred seventy-one thousand, four hundred eighty-eight".