Search a number
-
+
28432992 = 2537291459
BaseRepresentation
bin110110001110…
…1101001100000
31222111112201210
41230131221200
524234323432
62453230120
7463451010
oct154355140
958445653
1028432992
1115060145
129632340
135b76973
143ac1c40
1527698cc
hex1b1da60

28432992 has 96 divisors (see below), whose sum is σ = 88300800. Its totient is φ = 7838208.

The previous prime is 28432981. The next prime is 28432997. The reversal of 28432992 is 29923482.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 28432992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28432997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18759 + ... + 20217.

It is an arithmetic number, because the mean of its divisors is an integer number (919800).

Almost surely, 228432992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28432992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44150400).

28432992 is an abundant number, since it is smaller than the sum of its proper divisors (59867808).

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

28432992 is a wasteful number, since it uses less digits than its factorization.

28432992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1500 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 28432992 is about 5332.2595585736. The cubic root of 28432992 is about 305.2161577972.

The spelling of 28432992 in words is "twenty-eight million, four hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 336 348 406 464 609 672 696 812 928 1218 1392 1459 1624 2436 2784 2918 3248 4377 4872 5836 6496 8754 9744 10213 11672 17508 19488 20426 23344 30639 35016 40852 42311 46688 61278 70032 81704 84622 122556 126933 140064 163408 169244 245112 253866 296177 326816 338488 490224 507732 592354 676976 888531 980448 1015464 1184708 1353952 1777062 2030928 2369416 3554124 4061856 4738832 7108248 9477664 14216496 28432992