29088001152 has 256 divisors, whose sum is σ = 98449747200. Its totient is φ = 8282456064.

The previous prime is 29088001093. The next prime is 29088001153. The reversal of 29088001152 is 25110088092.

It is a super-2 number, since 2×29088001152² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (29088001153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7666968 + ... + 7670760.

It is an arithmetic number, because the mean of its divisors is an integer number (384569325).

Almost surely, 2^29088001152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29088001152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49224873600).

29088001152 is an abundant number, since it is smaller than the sum of its proper divisors (69361746048).

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

29088001152 is a wasteful number, since it uses less digits than its factorization.

29088001152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4140 (or 4122 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 29088001152 in words is "twenty-nine billion, eighty-eight million, one thousand, one hundred fifty-two".