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28772480 = 275116167
BaseRepresentation
bin110110111000…
…0100010000000
32000010210102102
41231300202000
524331204410
62504405532
7466363532
oct155604200
960123372
1028772480
1115272210
1297768a8
135c65349
143b6d852
1527d52a5
hex1b70880

28772480 has 128 divisors (see below), whose sum is σ = 77405760. Its totient is φ = 10137600.

The previous prime is 28772467. The next prime is 28772489. The reversal of 28772480 is 8427782.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (28772489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429407 + ... + 429473.

Almost surely, 228772480 is an apocalyptic number.

28772480 is a gapful number since it is divisible by the number (20) 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 28772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38702880).

28772480 is an abundant number, since it is smaller than the sum of its proper divisors (48633280).

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

28772480 is a wasteful number, since it uses less digits than its factorization.

28772480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 38.

The square root of 28772480 is about 5363.9985085755. The cubic root of 28772480 is about 306.4261083448.

The spelling of 28772480 in words is "twenty-eight million, seven hundred seventy-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 61 64 67 80 88 110 122 128 134 160 176 220 244 268 305 320 335 352 440 488 536 610 640 670 671 704 737 880 976 1072 1220 1340 1342 1408 1474 1760 1952 2144 2440 2680 2684 2948 3355 3520 3685 3904 4087 4288 4880 5360 5368 5896 6710 7040 7370 7808 8174 8576 9760 10720 10736 11792 13420 14740 16348 19520 20435 21440 21472 23584 26840 29480 32696 39040 40870 42880 42944 44957 47168 53680 58960 65392 81740 85888 89914 94336 107360 117920 130784 163480 179828 214720 224785 235840 261568 326960 359656 429440 449570 471680 523136 653920 719312 899140 1307840 1438624 1798280 2615680 2877248 3596560 5754496 7193120 14386240 28772480