28029456 has 320 divisors, whose sum is σ = 106659840. Its totient is φ = 6842880.

The previous prime is 28029409. The next prime is 28029473. The reversal of 28029456 is 65492082.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 28029456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 904161 + ... + 904191.

It is an arithmetic number, because the mean of its divisors is an integer number (333312).

Almost surely, 2^28029456 is an apocalyptic number.

28029456 is a gapful number since it is divisible by the number (26) 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 28029456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53329920).

28029456 is an abundant number, since it is smaller than the sum of its proper divisors (78630384).

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

28029456 is a wasteful number, since it uses less digits than its factorization.

28029456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 28029456 is about 5294.2852208773. The cubic root of 28029456 is about 303.7653429226.

The spelling of 28029456 in words is "twenty-eight million, twenty-nine thousand, four hundred fifty-six".