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32128987828 = 22729122332353
BaseRepresentation
bin11101111011000010…
…010111001010110100
310001221010100200122011
4131323002113022310
51011300010102303
622432043414004
72215120614310
oct357302271264
9101833320564
1032128987828
1112697a81103
126287b24304
133050492302
1417ab0bcb40
15c809ba16d
hex77b0972b4

32128987828 has 48 divisors (see below), whose sum is σ = 66530177280. Its totient is φ = 13283472384.

The previous prime is 32128987823. The next prime is 32128987829. The reversal of 32128987828 is 82878982123.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32128987823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 976900 + ... + 1009252.

It is an arithmetic number, because the mean of its divisors is an integer number (1386045360).

Almost surely, 232128987828 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 32128987828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33265088640).

32128987828 is an abundant number, since it is smaller than the sum of its proper divisors (34401189452).

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

32128987828 is a wasteful number, since it uses less digits than its factorization.

32128987828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33616 (or 33614 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 58.

The spelling of 32128987828 in words is "thirty-two billion, one hundred twenty-eight million, nine hundred eighty-seven thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 812 1223 2446 4892 8561 17122 32353 34244 35467 64706 70934 129412 141868 226471 248269 452942 496538 905884 938237 993076 1876474 3752948 6567659 13135318 26270636 39567719 79135438 158270876 276974033 553948066 1107896132 1147463851 2294927702 4589855404 8032246957 16064493914 32128987828