28429824 has 80 divisors (see below), whose sum is σ = 76995072. Its totient is φ = 9320448.

The previous prime is 28429823. The next prime is 28429847. The reversal of 28429824 is 42892482.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28429823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127377 + ... + 127599.

Almost surely, 2^28429824 is an apocalyptic number.

28429824 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 28429824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38497536).

28429824 is an abundant number, since it is smaller than the sum of its proper divisors (48565248).

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

28429824 is an equidigital number, since it uses as much as digits as its factorization.

28429824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 311 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 28429824 is about 5331.9624904907. The cubic root of 28429824 is about 305.2048216623.

The spelling of 28429824 in words is "twenty-eight million, four hundred twenty-nine thousand, eight hundred twenty-four".