28653768 has 192 divisors, whose sum is σ = 95921280. Its totient is φ = 7666560.

The previous prime is 28653739. The next prime is 28653787. The reversal of 28653768 is 86735682.

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, 1245805 + ... + 1245827.

It is an arithmetic number, because the mean of its divisors is an integer number (499590).

Almost surely, 2^28653768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28653768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47960640).

28653768 is an abundant number, since it is smaller than the sum of its proper divisors (67267512).

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

28653768 is a wasteful number, since it uses less digits than its factorization.

28653768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 52 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 28653768 is about 5352.9214453418. The cubic root of 28653768 is about 306.0041009318.

It can be divided in two parts, 28 and 653768, that added together give a triangular number (653796 = T₁₁₄₃).

The spelling of 28653768 in words is "twenty-eight million, six hundred fifty-three thousand, seven hundred sixty-eight".