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28513408 = 277112263
BaseRepresentation
bin110110011000…
…1010010000000
31222122122001011
41230301102000
524244412113
62455050304
7464234320
oct154612200
958578034
1028513408
1115105600
129670994
135ba4451
143b03280
15278363d
hex1b31480

28513408 has 96 divisors (see below), whose sum is σ = 71628480. Its totient is φ = 11066880.

The previous prime is 28513393. The next prime is 28513423. The reversal of 28513408 is 80431582.

It is an interprime number because it is at equal distance from previous prime (28513393) and next prime (28513423).

It is a self number, because there is not a number n which added to its sum of digits gives 28513408.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108285 + ... + 108547.

It is an arithmetic number, because the mean of its divisors is an integer number (746130).

Almost surely, 228513408 is an apocalyptic number.

28513408 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 28513408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35814240).

28513408 is an abundant number, since it is smaller than the sum of its proper divisors (43115072).

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

28513408 is a wasteful number, since it uses less digits than its factorization.

28513408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 28513408 is about 5339.7947526099. The cubic root of 28513408 is about 305.5036308804.

The spelling of 28513408 in words is "twenty-eight million, five hundred thirteen thousand, four hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 128 154 176 224 242 263 308 352 448 484 526 616 704 847 896 968 1052 1232 1408 1694 1841 1936 2104 2464 2893 3388 3682 3872 4208 4928 5786 6776 7364 7744 8416 9856 11572 13552 14728 15488 16832 20251 23144 27104 29456 31823 33664 40502 46288 54208 58912 63646 81004 92576 108416 117824 127292 162008 185152 222761 235648 254584 324016 370304 445522 509168 648032 891044 1018336 1296064 1782088 2036672 2592128 3564176 4073344 7128352 14256704 28513408