Search a number
-
+
28627840 = 275411091
BaseRepresentation
bin110110100110…
…1001110000000
31222212110000101
41231031032000
524312042330
62501332144
7465222043
oct155151600
958773011
1028627840
111518357a
129707054
135c14567
143b32c5a
1527a74ca
hex1b4d380

28627840 has 64 divisors (see below), whose sum is σ = 70171920. Its totient is φ = 11161600.

The previous prime is 28627811. The next prime is 28627871. The reversal of 28627840 is 4872682.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 28627840.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 25695 + ... + 26785.

Almost surely, 228627840 is an apocalyptic number.

28627840 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 28627840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35085960).

28627840 is an abundant number, since it is smaller than the sum of its proper divisors (41544080).

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

28627840 is a wasteful number, since it uses less digits than its factorization.

28627840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 28627840 is about 5350.4990421455. The cubic root of 28627840 is about 305.9117748703.

The spelling of 28627840 in words is "twenty-eight million, six hundred twenty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 320 328 410 640 656 820 1091 1312 1640 2182 2624 3280 4364 5248 5455 6560 8728 10910 13120 17456 21820 26240 34912 43640 44731 69824 87280 89462 139648 174560 178924 223655 349120 357848 447310 698240 715696 894620 1431392 1789240 2862784 3578480 5725568 7156960 14313920 28627840