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628789056 = 26371992351
BaseRepresentation
bin100101011110101…
…000111101000000
31121211011210102120
4211132220331000
52241432222211
6142221044240
721403422150
oct4536507500
91554153376
10628789056
112a2a31585
121566b6680
13a036863c
145d71c760
153a307d06
hex257a8f40

628789056 has 112 divisors (see below), whose sum is σ = 1911705600. Its totient is φ = 178675200.

The previous prime is 628789033. The next prime is 628789061. The reversal of 628789056 is 650987826.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×6287890562 = 790751353890742272, which contains 22 as substring.

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, 266281 + ... + 268631.

It is an arithmetic number, because the mean of its divisors is an integer number (17068800).

Almost surely, 2628789056 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 628789056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955852800).

628789056 is an abundant number, since it is smaller than the sum of its proper divisors (1282916544).

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

628789056 is a wasteful number, since it uses less digits than its factorization.

628789056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2572 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The square root of 628789056 is about 25075.6666112788. Note that the first 4 decimals coincide. The cubic root of 628789056 is about 856.7122787229.

The spelling of 628789056 in words is "six hundred twenty-eight million, seven hundred eighty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 199 224 336 398 448 597 672 796 1194 1344 1393 1592 2351 2388 2786 3184 4179 4702 4776 5572 6368 7053 8358 9404 9552 11144 12736 14106 16457 16716 18808 19104 22288 28212 32914 33432 37616 38208 44576 49371 56424 65828 66864 75232 89152 98742 112848 131656 133728 150464 197484 225696 263312 267456 394968 451392 467849 526624 789936 935698 1053248 1403547 1579872 1871396 2807094 3159744 3274943 3742792 5614188 6549886 7485584 9824829 11228376 13099772 14971168 19649658 22456752 26199544 29942336 39299316 44913504 52399088 78598632 89827008 104798176 157197264 209596352 314394528 628789056