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28440144 = 24322331277
BaseRepresentation
bin110110001111…
…1011001010000
31222111220112200
41230133121100
524240041034
62453323200
7463510605
oct154373120
958456480
1028440144
1115065557
129636500
135b79cb5
143ac46ac
15276ba99
hex1b1f650

28440144 has 120 divisors (see below), whose sum is σ = 86042112. Its totient is φ = 8743680.

The previous prime is 28440127. The next prime is 28440163. The reversal of 28440144 is 44104482.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 102534 + ... + 102810.

Almost surely, 228440144 is an apocalyptic number.

28440144 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 28440144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43021056).

28440144 is an abundant number, since it is smaller than the sum of its proper divisors (57601968).

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

28440144 is a wasteful number, since it uses less digits than its factorization.

28440144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 28440144 is about 5332.9301514271. The cubic root of 28440144 is about 305.2417468847.

The spelling of 28440144 in words is "twenty-eight million, four hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 31 36 46 48 62 69 72 92 93 124 138 144 184 186 207 248 276 277 279 368 372 414 496 552 554 558 713 744 828 831 1104 1108 1116 1426 1488 1656 1662 2139 2216 2232 2493 2852 3312 3324 4278 4432 4464 4986 5704 6371 6417 6648 8556 8587 9972 11408 12742 12834 13296 17112 17174 19113 19944 25484 25668 25761 34224 34348 38226 39888 50968 51336 51522 57339 68696 76452 77283 101936 102672 103044 114678 137392 152904 154566 197501 206088 229356 305808 309132 395002 412176 458712 592503 618264 790004 917424 1185006 1236528 1580008 1777509 2370012 3160016 3555018 4740024 7110036 9480048 14220072 28440144