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2928495240 = 23325112233779
BaseRepresentation
bin1010111010001101…
…0100101010001000
321120002110222020200
42232203110222020
521444143321430
61202331452200
7132366540666
oct25643245210
97502428220
102928495240
111273071900
126988b7060
13378939b28
141dad11c36
1512216c460
hexae8d4a88

2928495240 has 576 divisors, whose sum is σ = 11353305600. Its totient is φ = 652354560.

The previous prime is 2928495239. The next prime is 2928495299. The reversal of 2928495240 is 425948292.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37069521 + ... + 37069599.

It is an arithmetic number, because the mean of its divisors is an integer number (19710600).

Almost surely, 22928495240 is an apocalyptic number.

2928495240 is a gapful number since it is divisible by the number (20) 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 2928495240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5676652800).

2928495240 is an abundant number, since it is smaller than the sum of its proper divisors (8424810360).

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

2928495240 is a wasteful number, since it uses less digits than its factorization.

2928495240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2928495240 is about 54115.5729896672. The cubic root of 2928495240 is about 1430.6986723923.

The spelling of 2928495240 in words is "two billion, nine hundred twenty-eight million, four hundred ninety-five thousand, two hundred forty".