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628311100 = 225229231241
BaseRepresentation
bin100101011100110…
…100010000111100
31121210021111210111
4211130310100330
52241321423400
6142202515404
721366361534
oct4534642074
91553244714
10628311100
112a273547a
12156505b64
13a022bc21
145d6364c4
153a2613ba
hex2573443c

628311100 has 108 divisors (see below), whose sum is σ = 1463670208. Its totient is φ = 233856000.

The previous prime is 628311083. The next prime is 628311107. The reversal of 628311100 is 1113826.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628311107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2606980 + ... + 2607220.

Almost surely, 2628311100 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 628311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731835104).

628311100 is an abundant number, since it is smaller than the sum of its proper divisors (835359108).

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

628311100 is a wasteful number, since it uses less digits than its factorization.

628311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 628311100 is about 25066.1345244934. The cubic root of 628311100 is about 856.4951552627.

Adding to 628311100 its reverse (1113826), we get a palindrome (629424926).

The spelling of 628311100 in words is "six hundred twenty-eight million, three hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 31 50 58 62 100 116 124 145 155 241 290 310 482 580 620 725 775 841 899 964 1205 1450 1550 1682 1798 2410 2900 3100 3364 3596 4205 4495 4820 6025 6989 7471 8410 8990 12050 13978 14942 16820 17980 21025 22475 24100 26071 27956 29884 34945 37355 42050 44950 52142 69890 74710 84100 89900 104284 130355 139780 149420 174725 186775 202681 216659 260710 349450 373550 405362 433318 521420 651775 698900 747100 810724 866636 1013405 1083295 1303550 2026810 2166590 2607100 4053620 4333180 5067025 5416475 6283111 10134050 10832950 12566222 20268100 21665900 25132444 31415555 62831110 125662220 157077775 314155550 628311100