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28410144 = 253767631
BaseRepresentation
bin110110001100…
…0000100100000
31222110101101120
41230120010200
524233111034
62452532240
7463324260
oct154300440
958411346
1028410144
1115044a64
129621080
135b69449
143ab77a0
152762c49
hex1b18120

28410144 has 96 divisors (see below), whose sum is σ = 86639616. Its totient is φ = 7983360.

The previous prime is 28410131. The next prime is 28410157. The reversal of 28410144 is 44101482.

It is an interprime number because it is at equal distance from previous prime (28410131) and next prime (28410157).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44709 + ... + 45339.

It is an arithmetic number, because the mean of its divisors is an integer number (902496).

Almost surely, 228410144 is an apocalyptic number.

28410144 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 28410144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43319808).

28410144 is an abundant number, since it is smaller than the sum of its proper divisors (58229472).

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

28410144 is a wasteful number, since it uses less digits than its factorization.

28410144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 28410144 is about 5330.1166966587. The cubic root of 28410144 is about 305.1343813462.

The spelling of 28410144 in words is "twenty-eight million, four hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 67 84 96 112 134 168 201 224 268 336 402 469 536 631 672 804 938 1072 1262 1407 1608 1876 1893 2144 2524 2814 3216 3752 3786 4417 5048 5628 6432 7504 7572 8834 10096 11256 13251 15008 15144 17668 20192 22512 26502 30288 35336 42277 45024 53004 60576 70672 84554 106008 126831 141344 169108 212016 253662 295939 338216 424032 507324 591878 676432 887817 1014648 1183756 1352864 1775634 2029296 2367512 3551268 4058592 4735024 7102536 9470048 14205072 28410144