28078560 has 288 divisors, whose sum is σ = 107557632. Its totient is φ = 6635520.

The previous prime is 28078559. The next prime is 28078573. The reversal of 28078560 is 6587082.

28078560 is a `hidden beast` number, since 28 + 0 + 78 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 758862 + ... + 758898.

It is an arithmetic number, because the mean of its divisors is an integer number (373464).

Almost surely, 2^28078560 is an apocalyptic number.

28078560 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 28078560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53778816).

28078560 is an abundant number, since it is smaller than the sum of its proper divisors (79479072).

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

28078560 is a wasteful number, since it uses less digits than its factorization.

28078560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 28078560 is about 5298.9206448106. The cubic root of 28078560 is about 303.9426253680.

The spelling of 28078560 in words is "twenty-eight million, seventy-eight thousand, five hundred sixty".