28434960 has 120 divisors (see below), whose sum is σ = 96981144. Its totient is φ = 7464960.

The previous prime is 28434947. The next prime is 28434979. The reversal of 28434960 is 6943482.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2547216 + 25887744 = 1596^2 + 5088^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52290 + ... + 52830.

It is a vampire number, since it can be written as 4380 ⋅ 6492 (with its own digits).

Almost surely, 2^28434960 is an apocalyptic number.

28434960 is a gapful number since it is divisible by the number (20) 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 28434960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48490572).

28434960 is an abundant number, since it is smaller than the sum of its proper divisors (68546184).

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

28434960 is a wasteful number, since it uses less digits than its factorization.

28434960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 28434960 is about 5332.4440925339. Note that the first 3 decimals coincide. The cubic root of 28434960 is about 305.2231995176.

The spelling of 28434960 in words is "twenty-eight million, four hundred thirty-four thousand, nine hundred sixty".