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1428499800 = 2335527131719
BaseRepresentation
bin101010100100101…
…0010110101011000
310200112222022100000
41111021102311120
510411143443200
6353425413000
750254022310
oct12511226530
93615868300
101428499800
11673395052
1233a49a160
13199c49970
14d7a10440
1585624300
hex55252d58

1428499800 has 1152 divisors, whose sum is σ = 6824563200. Its totient is φ = 268738560.

The previous prime is 1428499741. The next prime is 1428499823. The reversal of 1428499800 is 89948241.

It is a super-2 number, since 2×14284998002 = 4081223357200080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 75184191 + ... + 75184209.

It is an arithmetic number, because the mean of its divisors is an integer number (5924100).

Almost surely, 21428499800 is an apocalyptic number.

1428499800 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 1428499800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412281600).

1428499800 is an abundant number, since it is smaller than the sum of its proper divisors (5396063400).

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

1428499800 is a wasteful number, since it uses less digits than its factorization.

1428499800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1428499800 is about 37795.4997321110. The cubic root of 1428499800 is about 1126.2290567728.

The spelling of 1428499800 in words is "one billion, four hundred twenty-eight million, four hundred ninety-nine thousand, eight hundred".