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28380456 = 2335131123
BaseRepresentation
bin110110001000…
…0110100101000
31222101212200000
41230100310220
524231133311
62452143000
7463141566
oct154206450
958355600
1028380456
1115024725
129607a60
135b58a90
143aaaa36
152759056
hex1b10d28

28380456 has 96 divisors (see below), whose sum is σ = 85918560. Its totient is φ = 8724672.

The previous prime is 28380431. The next prime is 28380479. The reversal of 28380456 is 65408382.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 28380456.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24711 + ... + 25833.

It is an arithmetic number, because the mean of its divisors is an integer number (894985).

Almost surely, 228380456 is an apocalyptic number.

28380456 is a gapful number since it is divisible by the number (26) 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 28380456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42959280).

28380456 is an abundant number, since it is smaller than the sum of its proper divisors (57538104).

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

28380456 is a wasteful number, since it uses less digits than its factorization.

28380456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 28380456 is about 5327.3310390851. The cubic root of 28380456 is about 305.0280579760.

The spelling of 28380456 in words is "twenty-eight million, three hundred eighty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 936 972 1053 1123 1404 1944 2106 2246 2808 3159 3369 4212 4492 6318 6738 8424 8984 10107 12636 13476 14599 20214 25272 26952 29198 30321 40428 43797 58396 60642 80856 87594 90963 116792 121284 131391 175188 181926 242568 262782 272889 350376 363852 394173 525564 545778 727704 788346 1051128 1091556 1182519 1576692 2183112 2365038 3153384 3547557 4730076 7095114 9460152 14190228 28380456