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628887424 = 27113171409
BaseRepresentation
bin100101011111000…
…000111110000000
31121211100210100211
4211133000332000
52241443344144
6142223123504
721404312014
oct4537007600
91554323324
10628887424
112a2a99480
12156743594
13a03a1349
145d746544
153a327034
hex257c0f80

628887424 has 64 divisors (see below), whose sum is σ = 1372042800. Its totient is φ = 284753920.

The previous prime is 628887379. The next prime is 628887437. The reversal of 628887424 is 424788826.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 445632 + ... + 447040.

Almost surely, 2628887424 is an apocalyptic number.

628887424 is a gapful number since it is divisible by the number (64) 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 628887424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686021400).

628887424 is an abundant number, since it is smaller than the sum of its proper divisors (743155376).

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

628887424 is a wasteful number, since it uses less digits than its factorization.

628887424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751 (or 1739 counting only the distinct ones).

The product of its digits is 1376256, while the sum is 49.

The square root of 628887424 is about 25077.6279580027. The cubic root of 628887424 is about 856.7569511922.

The spelling of 628887424 in words is "six hundred twenty-eight million, eight hundred eighty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 317 352 634 704 1268 1408 1409 2536 2818 3487 5072 5636 6974 10144 11272 13948 15499 20288 22544 27896 30998 40576 45088 55792 61996 90176 111584 123992 180352 223168 247984 446336 446653 495968 893306 991936 1786612 1983872 3573224 4913183 7146448 9826366 14292896 19652732 28585792 39305464 57171584 78610928 157221856 314443712 628887424