28582840 has 128 divisors (see below), whose sum is σ = 79833600. Its totient is φ = 9054720.

The previous prime is 28582789. The next prime is 28582861. The reversal of 28582840 is 4828582.

28582840 = T₄₁₅ + T₄₁₆ + ... + T₆₂₃.

It is a self number, because there is not a number n which added to its sum of digits gives 28582840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108549 + ... + 108811.

It is an arithmetic number, because the mean of its divisors is an integer number (623700).

Almost surely, 2^28582840 is an apocalyptic number.

28582840 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 28582840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39916800).

28582840 is an abundant number, since it is smaller than the sum of its proper divisors (51250760).

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

28582840 is a wasteful number, since it uses less digits than its factorization.

28582840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 37.

The square root of 28582840 is about 5346.2921730859. The cubic root of 28582840 is about 305.7514036012.

The spelling of 28582840 in words is "twenty-eight million, five hundred eighty-two thousand, eight hundred forty".