Search a number
-
+
28577376 = 2532671481
BaseRepresentation
bin110110100000…
…0111001100000
31222202212210100
41231000321200
524303434001
62500302400
7464621652
oct155007140
958685710
1028577376
1115149673
1296a1a00
135bc75b9
143b1c6d2
152797586
hex1b40e60

28577376 has 72 divisors (see below), whose sum is σ = 82535544. Its totient is φ = 9377280.

The previous prime is 28577333. The next prime is 28577377. The reversal of 28577376 is 67377582.

28577376 is a `hidden beast` number, since 2 + 8 + 577 + 3 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28577377) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18556 + ... + 20036.

It is an arithmetic number, because the mean of its divisors is an integer number (1146327).

Almost surely, 228577376 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 28577376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41267772).

28577376 is an abundant number, since it is smaller than the sum of its proper divisors (53958168).

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

28577376 is a wasteful number, since it uses less digits than its factorization.

28577376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564 (or 1553 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 28577376 is about 5345.7811403012. The cubic root of 28577376 is about 305.7319195082.

The spelling of 28577376 in words is "twenty-eight million, five hundred seventy-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 201 268 288 402 536 603 804 1072 1206 1481 1608 2144 2412 2962 3216 4443 4824 5924 6432 8886 9648 11848 13329 17772 19296 23696 26658 35544 47392 53316 71088 99227 106632 142176 198454 213264 297681 396908 426528 595362 793816 893043 1190724 1587632 1786086 2381448 3175264 3572172 4762896 7144344 9525792 14288688 28577376