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1328987088 = 2434111371101
BaseRepresentation
bin100111100110110…
…1011101111010000
310102121201112120000
41033031223233100
510210210041323
6335512450000
744635126632
oct11715535720
93377645500
101328987088
116221a6740
123110a9900
13182446bc0
14c8708a52
157ba18e43
hex4f36bbd0

1328987088 has 400 divisors, whose sum is σ = 4627953792. Its totient is φ = 362880000.

The previous prime is 1328987063. The next prime is 1328987113. The reversal of 1328987088 is 8807898231.

It is an interprime number because it is at equal distance from previous prime (1328987063) and next prime (1328987113).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13158238 + ... + 13158338.

Almost surely, 21328987088 is an apocalyptic number.

1328987088 is a gapful number since it is divisible by the number (18) 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 1328987088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2313976896).

1328987088 is an abundant number, since it is smaller than the sum of its proper divisors (3298966704).

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

1328987088 is a wasteful number, since it uses less digits than its factorization.

1328987088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The square root of 1328987088 is about 36455.2751738346. The cubic root of 1328987088 is about 1099.4451990130.

The spelling of 1328987088 in words is "one billion, three hundred twenty-eight million, nine hundred eighty-seven thousand, eighty-eight".