Search a number
-
+
28770854736 = 2431324338191
BaseRepresentation
bin11010110010111000…
…000110011101010000
32202021002102212001110
4122302320012131100
5432410314322421
621114523133320
72035653141651
oct326270063520
982232385043
1028770854736
1111224440aa8
1256ab374240
132936837a00
14156d0cd528
15b35c82a76
hex6b2e06750

28770854736 has 120 divisors (see below), whose sum is σ = 80677502976. Its totient is φ = 8831047680.

The previous prime is 28770854729. The next prime is 28770854737. The reversal of 28770854736 is 63745807782.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28770854737) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3508401 + ... + 3516591.

Almost surely, 228770854736 is an apocalyptic number.

28770854736 is a gapful number since it is divisible by the number (26) 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 28770854736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40338751488).

28770854736 is an abundant number, since it is smaller than the sum of its proper divisors (51906648240).

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

28770854736 is a wasteful number, since it uses less digits than its factorization.

28770854736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8661 (or 8642 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 57.

The spelling of 28770854736 in words is "twenty-eight billion, seven hundred seventy million, eight hundred fifty-four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 433 507 624 676 866 1014 1299 1352 1732 2028 2598 2704 3464 4056 5196 5629 6928 8112 8191 10392 11258 16382 16887 20784 22516 24573 32764 33774 45032 49146 65528 67548 73177 90064 98292 106483 131056 135096 146354 196584 212966 219531 270192 292708 319449 393168 425932 439062 585416 638898 851864 878124 1170832 1277796 1384279 1703728 1756248 2555592 2768558 3512496 3546703 4152837 5111184 5537116 7093406 8305674 10640109 11074232 14186812 16611348 21280218 22148464 28373624 33222696 42560436 46107139 56747248 66445392 85120872 92214278 138321417 170241744 184428556 276642834 368857112 553285668 599392807 737714224 1106571336 1198785614 1798178421 2213142672 2397571228 3596356842 4795142456 7192713684 9590284912 14385427368 28770854736