45028962000 has 240 divisors, whose sum is σ = 171569286720. Its totient is φ = 10916064000.

The previous prime is 45028961981. The next prime is 45028962029. The reversal of 45028962000 is 26982054.

It is a happy number.

45028962000 is a `hidden beast` number, since 4 + 5 + 0 + 28 + 9 + 620 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84291 + ... + 311709.

It is an arithmetic number, because the mean of its divisors is an integer number (714872028).

Almost surely, 2^45028962000 is an apocalyptic number.

45028962000 is a gapful number since it is divisible by the number (40) 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 45028962000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85784643360).

45028962000 is an abundant number, since it is smaller than the sum of its proper divisors (126540324720).

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

45028962000 is a wasteful number, since it uses less digits than its factorization.

45028962000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227459 (or 227440 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 45028962000 in words is "forty-five billion, twenty-eight million, nine hundred sixty-two thousand".