28741440 has 336 divisors, whose sum is σ = 116750592. Its totient is φ = 5935104.

The previous prime is 28741417. The next prime is 28741481. The reversal of 28741440 is 4414782.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×28741440³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 28741398 and 28741407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 611497 + ... + 611543.

It is an arithmetic number, because the mean of its divisors is an integer number (347472).

Almost surely, 2^28741440 is an apocalyptic number.

28741440 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 28741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58375296).

28741440 is an abundant number, since it is smaller than the sum of its proper divisors (88009152).

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

28741440 is a wasteful number, since it uses less digits than its factorization.

28741440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 28741440 is about 5361.1043638415. The cubic root of 28741440 is about 306.3158769847.

The spelling of 28741440 in words is "twenty-eight million, seven hundred forty-one thousand, four hundred forty".