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95428800 = 263352472
BaseRepresentation
bin1011011000000…
…10000011000000
320122120021201000
411230002003000
5143412210200
613245212000
72236063035
oct554020300
9218507630
1095428800
114995a085
1227b61000
1316a02c5c
14c96138c
1585a0300
hex5b020c0

95428800 has 252 divisors, whose sum is σ = 355432360. Its totient is φ = 24906240.

The previous prime is 95428793. The next prime is 95428807. The reversal of 95428800 is 882459.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (95428793) and next prime (95428807).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (95428807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2030377 + ... + 2030423.

Almost surely, 295428800 is an apocalyptic number.

95428800 is a gapful number since it is divisible by the number (90) 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 95428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177716180).

95428800 is an abundant number, since it is smaller than the sum of its proper divisors (260003560).

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

95428800 is a wasteful number, since it uses less digits than its factorization.

95428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 95428800 is about 9768.7665546885. The cubic root of 95428800 is about 456.9757499338.

The spelling of 95428800 in words is "ninety-five million, four hundred twenty-eight thousand, eight hundred".