29386900928 has 224 divisors, whose sum is σ = 74834496000. Its totient is φ = 11349811200.

The previous prime is 29386900909. The next prime is 29386900987. The reversal of 29386900928 is 82900968392.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×29386900928² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31632368 + ... + 31633296.

Almost surely, 2^29386900928 is an apocalyptic number.

29386900928 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 29386900928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37417248000).

29386900928 is an abundant number, since it is smaller than the sum of its proper divisors (45447595072).

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

29386900928 is a wasteful number, since it uses less digits than its factorization.

29386900928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 56.

The spelling of 29386900928 in words is "twenty-nine billion, three hundred eighty-six million, nine hundred thousand, nine hundred twenty-eight".