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28478784 = 263236449
BaseRepresentation
bin110110010100…
…0110101000000
31222120212112210
41230220311000
524242310114
62454222120
7464031345
oct154506500
958525483
1028478784
1115091594
129654940
135b91769
143ad47cc
152778259
hex1b28d40

28478784 has 56 divisors (see below), whose sum is σ = 78638400. Its totient is φ = 9078784.

The previous prime is 28478773. The next prime is 28478797. The reversal of 28478784 is 48787482.

It is a happy number.

It is a super-2 number, since 2×284787842 = 1622082276237312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1192 + ... + 7640.

Almost surely, 228478784 is an apocalyptic number.

28478784 is a gapful number since it is divisible by the number (24) 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 28478784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39319200).

28478784 is an abundant number, since it is smaller than the sum of its proper divisors (50159616).

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

28478784 is a wasteful number, since it uses less digits than its factorization.

28478784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6487 (or 6477 counting only the distinct ones).

The product of its digits is 802816, while the sum is 48.

The square root of 28478784 is about 5336.5516956177. The cubic root of 28478784 is about 305.3799225049.

The spelling of 28478784 in words is "twenty-eight million, four hundred seventy-eight thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 4416 6449 12898 19347 25796 38694 51592 77388 103184 148327 154776 206368 296654 309552 412736 444981 593308 619104 889962 1186616 1238208 1779924 2373232 3559848 4746464 7119696 9492928 14239392 28478784