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1428725760 = 21335711151
BaseRepresentation
bin101010100101000…
…1010000000000000
310200120101210021220
41111022022000000
510411223211020
6353434315040
750255653140
oct12512120000
93616353256
101428725760
116735298a0
1233a588a80
13199cc8777
14d7a6c920
158566b240
hex5528a000

1428725760 has 448 divisors, whose sum is σ = 5737457664. Its totient is φ = 294912000.

The previous prime is 1428725759. The next prime is 1428725773. The reversal of 1428725760 is 675278241.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9461685 + ... + 9461835.

Almost surely, 21428725760 is an apocalyptic number.

1428725760 is a gapful number since it is divisible by the number (10) 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 1428725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868728832).

1428725760 is an abundant number, since it is smaller than the sum of its proper divisors (4308731904).

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

1428725760 is a wasteful number, since it uses less digits than its factorization.

1428725760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 1428725760 is about 37798.4888586832. The cubic root of 1428725760 is about 1126.2884359202.

The spelling of 1428725760 in words is "one billion, four hundred twenty-eight million, seven hundred twenty-five thousand, seven hundred sixty".