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28053792 = 25321359127
BaseRepresentation
bin110101100000…
…1000100100000
31221210021120100
41223001010200
524140210132
62441142400
7460311324
oct153010440
957707510
1028053792
1114921258
12948aa00
135a731a0
143a23984
1526e237c
hex1ac1120

28053792 has 144 divisors (see below), whose sum is σ = 88058880. Its totient is φ = 8418816.

The previous prime is 28053787. The next prime is 28053821. The reversal of 28053792 is 29735082.

It is a happy number.

28053792 is a `hidden beast` number, since 280 + 5 + 379 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 220833 + ... + 220959.

It is an arithmetic number, because the mean of its divisors is an integer number (611520).

Almost surely, 228053792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28053792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44029440).

28053792 is an abundant number, since it is smaller than the sum of its proper divisors (60005088).

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

28053792 is a wasteful number, since it uses less digits than its factorization.

28053792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 28053792 is about 5296.5830494763. The cubic root of 28053792 is about 303.8532301673.

The spelling of 28053792 in words is "twenty-eight million, fifty-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 59 72 78 96 104 117 118 127 144 156 177 208 234 236 254 288 312 354 381 416 468 472 508 531 624 708 762 767 936 944 1016 1062 1143 1248 1416 1524 1534 1651 1872 1888 2032 2124 2286 2301 2832 3048 3068 3302 3744 4064 4248 4572 4602 4953 5664 6096 6136 6604 6903 7493 8496 9144 9204 9906 12192 12272 13208 13806 14859 14986 16992 18288 18408 19812 22479 24544 26416 27612 29718 29972 36576 36816 39624 44958 52832 55224 59436 59944 67437 73632 79248 89916 97409 110448 118872 119888 134874 158496 179832 194818 220896 237744 239776 269748 292227 359664 389636 475488 539496 584454 719328 779272 876681 1078992 1168908 1558544 1753362 2157984 2337816 3117088 3506724 4675632 7013448 9351264 14026896 28053792