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328987233648 = 243231547134731
BaseRepresentation
bin1001100100110010010…
…10101100110101110000
31011110011200112001212100
410302121022230311300
520342231212434043
6411045030100400
732524416226533
oct4623112546560
91143150461770
10328987233648
11117582797a47
12539151aa700
132503c436a78
1411cccc78a1a
158857433cd3
hex4c992acd70

328987233648 has 120 divisors (see below), whose sum is σ = 952152121856. Its totient is φ = 105930115200.

The previous prime is 328987233637. The next prime is 328987233649. The reversal of 328987233648 is 846332789823.

It is a happy number.

328987233648 is a `hidden beast` number, since 3 + 289 + 87 + 233 + 6 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328987233649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2374443 + ... + 2509173.

Almost surely, 2328987233648 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 328987233648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476076060928).

328987233648 is an abundant number, since it is smaller than the sum of its proper divisors (623164888208).

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

328987233648 is a wasteful number, since it uses less digits than its factorization.

328987233648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135323 (or 135314 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 328987233648 in words is "three hundred twenty-eight billion, nine hundred eighty-seven million, two hundred thirty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 547 558 744 1094 1116 1488 1641 2188 2232 3282 4376 4464 4923 6564 8752 9846 13128 16957 19692 26256 33914 39384 50871 67828 78768 101742 134731 135656 152613 203484 269462 271312 305226 404193 406968 538924 610452 808386 813936 1077848 1212579 1220904 1616772 2155696 2425158 2441808 3233544 4176661 4850316 6467088 8353322 9700632 12529983 16706644 19401264 25059966 33413288 37589949 50119932 66826576 73697857 75179898 100239864 147395714 150359796 200479728 221093571 294791428 300719592 442187142 589582856 601439184 663280713 884374284 1179165712 1326561426 1768748568 2284633567 2653122852 3537497136 4569267134 5306245704 6853900701 9138534268 10612491408 13707801402 18277068536 20561702103 27415602804 36554137072 41123404206 54831205608 82246808412 109662411216 164493616824 328987233648