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628493472 = 25334391657
BaseRepresentation
bin100101011101100…
…000110010100000
31121210121202222000
4211131200302200
52241343242342
6142210444000
721401051325
oct4535406240
91553552860
10628493472
112a284a4a2
12156593600
13a0293c39
145d682b4c
153a29a44c
hex25760ca0

628493472 has 96 divisors (see below), whose sum is σ = 1838390400. Its totient is φ = 208894464.

The previous prime is 628493471. The next prime is 628493521. The reversal of 628493472 is 274394826.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×6284934722 = 790008088693229568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (628493471) 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, 378468 + ... + 380124.

It is an arithmetic number, because the mean of its divisors is an integer number (19149900).

Almost surely, 2628493472 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 628493472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919195200).

628493472 is an abundant number, since it is smaller than the sum of its proper divisors (1209896928).

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

628493472 is a wasteful number, since it uses less digits than its factorization.

628493472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115 (or 2101 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 628493472 is about 25069.7720771450. The cubic root of 628493472 is about 856.5780152896.

The spelling of 628493472 in words is "six hundred twenty-eight million, four hundred ninety-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 439 864 878 1317 1657 1756 2634 3314 3512 3951 4971 5268 6628 7024 7902 9942 10536 11853 13256 14048 14913 15804 19884 21072 23706 26512 29826 31608 39768 42144 44739 47412 53024 59652 63216 79536 89478 94824 119304 126432 159072 178956 189648 238608 357912 379296 477216 715824 727423 1431648 1454846 2182269 2909692 4364538 5819384 6546807 8729076 11638768 13093614 17458152 19640421 23277536 26187228 34916304 39280842 52374456 69832608 78561684 104748912 157123368 209497824 314246736 628493472