28076640 has 96 divisors (see below), whose sum is σ = 91536480. Its totient is φ = 7225344.

The previous prime is 28076627. The next prime is 28076647. The reversal of 28076640 is 4667082.

28076640 = T₂₈₇ + T₂₈₈ + ... + T₅₇₆.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28076647) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12912 + ... + 14928.

It is an arithmetic number, because the mean of its divisors is an integer number (953505).

Almost surely, 2^28076640 is an apocalyptic number.

28076640 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 28076640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45768240).

28076640 is an abundant number, since it is smaller than the sum of its proper divisors (63459840).

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

28076640 is a wasteful number, since it uses less digits than its factorization.

28076640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 28076640 is about 5298.7394727426. The cubic root of 28076640 is about 303.9356973876.

The spelling of 28076640 in words is "twenty-eight million, seventy-six thousand, six hundred forty".