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28740720 = 2435313863
BaseRepresentation
bin110110110100…
…0110001110000
32000002011212010
41231220301300
524324200340
62504002520
7466202121
oct155506160
960064763
1028740720
1115250368
129760440
135c53a58
143b62048
1527cab80
hex1b68c70

28740720 has 80 divisors (see below), whose sum is σ = 91994112. Its totient is φ = 7415040.

The previous prime is 28740709. The next prime is 28740721. The reversal of 28740720 is 2704782.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×287407202 = 1652057972236800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28740721) 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, 5509 + ... + 9371.

Almost surely, 228740720 is an apocalyptic number.

28740720 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 28740720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45997056).

28740720 is an abundant number, since it is smaller than the sum of its proper divisors (63253392).

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

28740720 is a wasteful number, since it uses less digits than its factorization.

28740720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3910 (or 3904 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 28740720 is about 5361.0372130773. The cubic root of 28740720 is about 306.3133191302.

The spelling of 28740720 in words is "twenty-eight million, seven hundred forty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 3863 7440 7726 11589 15452 19315 23178 30904 38630 46356 57945 61808 77260 92712 115890 119753 154520 185424 231780 239506 309040 359259 463560 479012 598765 718518 927120 958024 1197530 1437036 1796295 1916048 2395060 2874072 3592590 4790120 5748144 7185180 9580240 14370360 28740720