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28042448 = 2473767101
BaseRepresentation
bin110101011111…
…0010011010000
31221202201000012
41222332103100
524134324243
62441014052
7460233260
oct152762320
957681005
1028042448
1114913785
129484328
135a6ac85
143a1d7a0
1526ddd18
hex1abe4d0

28042448 has 80 divisors (see below), whose sum is σ = 65364864. Its totient is φ = 11404800.

The previous prime is 28042447. The next prime is 28042457. The reversal of 28042448 is 84424082.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28042447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277598 + ... + 277698.

Almost surely, 228042448 is an apocalyptic number.

28042448 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 28042448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32682432).

28042448 is an abundant number, since it is smaller than the sum of its proper divisors (37322416).

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

28042448 is a wasteful number, since it uses less digits than its factorization.

28042448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 28042448 is about 5295.5120621145. The cubic root of 28042448 is about 303.8122686726.

The spelling of 28042448 in words is "twenty-eight million, forty-two thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 37 56 67 74 101 112 134 148 202 259 268 296 404 469 518 536 592 707 808 938 1036 1072 1414 1616 1876 2072 2479 2828 3737 3752 4144 4958 5656 6767 7474 7504 9916 11312 13534 14948 17353 19832 26159 27068 29896 34706 39664 47369 52318 54136 59792 69412 94738 104636 108272 138824 189476 209272 250379 277648 378952 418544 500758 757904 1001516 1752653 2003032 3505306 4006064 7010612 14021224 28042448