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28420448 = 257711787
BaseRepresentation
bin110110001101…
…0100101100000
31222110220112012
41230122211200
524233423243
62453052052
7463366310
oct154324540
958426465
1028420448
1115051781
129627028
135b71044
143abb440
152765d18
hex1b1a960

28420448 has 48 divisors (see below), whose sum is σ = 64882944. Its totient is φ = 12001920.

The previous prime is 28420429. The next prime is 28420451. The reversal of 28420448 is 84402482.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 15011 + ... + 16797.

It is an arithmetic number, because the mean of its divisors is an integer number (1351728).

Almost surely, 228420448 is an apocalyptic number.

28420448 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 28420448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32441472).

28420448 is an abundant number, since it is smaller than the sum of its proper divisors (36462496).

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

28420448 is a wasteful number, since it uses less digits than its factorization.

28420448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875 (or 1867 counting only the distinct ones).

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

The square root of 28420448 is about 5331.0831919977. The cubic root of 28420448 is about 305.1712663479.

The spelling of 28420448 in words is "twenty-eight million, four hundred twenty thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 71 112 142 224 284 497 568 994 1136 1787 1988 2272 3574 3976 7148 7952 12509 14296 15904 25018 28592 50036 57184 100072 126877 200144 253754 400288 507508 888139 1015016 1776278 2030032 3552556 4060064 7105112 14210224 28420448