29097984 has 76 divisors (see below), whose sum is σ = 79691624. Its totient is φ = 9437184.

The previous prime is 29097977. The next prime is 29098009. The reversal of 29097984 is 48979092.

It is a happy number.

It is a super-4 number, since 4×29097984⁴ (a number of 31 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 786414 + ... + 786450.

It is an arithmetic number, because the mean of its divisors is an integer number (1048574).

Almost surely, 2^29097984 is an apocalyptic number.

29097984 is a gapful number since it is divisible by the number (24) 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 29097984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39845812).

29097984 is an abundant number, since it is smaller than the sum of its proper divisors (50593640).

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

29097984 is an frugal number, since it uses more digits than its factorization.

29097984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 29097984 is about 5394.2547214606. The cubic root of 29097984 is about 307.5773141571.

The spelling of 29097984 in words is "twenty-nine million, ninety-seven thousand, nine hundred eighty-four".