Search a number
-
+
28513828 = 22717371619
BaseRepresentation
bin110110011000…
…1011000100100
31222122122121201
41230301120210
524244420303
62455052244
7464235460
oct154613044
958578551
1028513828
1115105952
129671084
135ba46b5
143b034a0
15278381d
hex1b31624

28513828 has 48 divisors (see below), whose sum is σ = 62052480. Its totient is φ = 11183616.

The previous prime is 28513801. The next prime is 28513861. The reversal of 28513828 is 82831582.

It is a Harshad number since it is a multiple of its sum of digits (37).

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 15 ways as a sum of consecutive naturals, for example, 16803 + ... + 18421.

It is an arithmetic number, because the mean of its divisors is an integer number (1292760).

Almost surely, 228513828 is an apocalyptic number.

28513828 is a gapful number since it is divisible by the number (28) 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 28513828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31026240).

28513828 is an abundant number, since it is smaller than the sum of its proper divisors (33538652).

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

28513828 is a wasteful number, since it uses less digits than its factorization.

28513828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1682 counting only the distinct ones).

The product of its digits is 30720, while the sum is 37.

The square root of 28513828 is about 5339.8340798193. The cubic root of 28513828 is about 305.5051308869.

The spelling of 28513828 in words is "twenty-eight million, five hundred thirteen thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 14 17 28 34 37 68 74 119 148 238 259 476 518 629 1036 1258 1619 2516 3238 4403 6476 8806 11333 17612 22666 27523 45332 55046 59903 110092 119806 192661 239612 385322 419321 770644 838642 1018351 1677284 2036702 4073404 7128457 14256914 28513828