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28077728 = 257163769
BaseRepresentation
bin110101100011…
…0111010100000
31221211111101212
41223012322200
524141441403
62441445252
7460441160
oct153067240
957744355
1028077728
1114938238
1294a0828
135a81053
143a2c5a0
1526e94d8
hex1ac6ea0

28077728 has 48 divisors (see below), whose sum is σ = 63645120. Its totient is φ = 11943936.

The previous prime is 28077719. The next prime is 28077767. The reversal of 28077728 is 82777082.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36128 + ... + 36896.

It is an arithmetic number, because the mean of its divisors is an integer number (1325940).

Almost surely, 228077728 is an apocalyptic number.

28077728 is a gapful number since it is divisible by the number (28) 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 28077728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31822560).

28077728 is an abundant number, since it is smaller than the sum of its proper divisors (35567392).

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

28077728 is a wasteful number, since it uses less digits than its factorization.

28077728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 41.

The square root of 28077728 is about 5298.8421376750. The cubic root of 28077728 is about 303.9396232819.

The spelling of 28077728 in words is "twenty-eight million, seventy-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 163 224 326 652 769 1141 1304 1538 2282 2608 3076 4564 5216 5383 6152 9128 10766 12304 18256 21532 24608 36512 43064 86128 125347 172256 250694 501388 877429 1002776 1754858 2005552 3509716 4011104 7019432 14038864 28077728