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28192680 = 23325711103
BaseRepresentation
bin110101110001…
…0111110101000
31222001100002100
41223202332220
524204131210
62444133400
7461430255
oct153427650
958040070
1028192680
1114a0663a
129537260
135ac1479
143a5c42c
15271d5c0
hex1ae2fa8

28192680 has 96 divisors (see below), whose sum is σ = 93000960. Its totient is φ = 7405440.

The previous prime is 28192667. The next prime is 28192691. The reversal of 28192680 is 8629182.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25009 + ... + 26111.

It is an arithmetic number, because the mean of its divisors is an integer number (968760).

Almost surely, 228192680 is an apocalyptic number.

28192680 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 28192680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46500480).

28192680 is an abundant number, since it is smaller than the sum of its proper divisors (64808280).

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

28192680 is a wasteful number, since it uses less digits than its factorization.

28192680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 28192680 is about 5309.6779563360. The cubic root of 28192680 is about 304.3538412180.

The spelling of 28192680 in words is "twenty-eight million, one hundred ninety-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 71 72 90 120 142 180 213 284 355 360 426 568 639 710 852 1065 1103 1278 1420 1704 2130 2206 2556 2840 3195 3309 4260 4412 5112 5515 6390 6618 8520 8824 9927 11030 12780 13236 16545 19854 22060 25560 26472 33090 39708 44120 49635 66180 78313 79416 99270 132360 156626 198540 234939 313252 391565 397080 469878 626504 704817 783130 939756 1174695 1409634 1566260 1879512 2349390 2819268 3132520 3524085 4698780 5638536 7048170 9397560 14096340 28192680