147828240 has 200 divisors, whose sum is σ = 586956480. Its totient is φ = 33778944.

The previous prime is 147828223. The next prime is 147828253. The reversal of 147828240 is 42828741.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 147828195 and 147828204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43731 + ... + 46989.

Almost surely, 2^147828240 is an apocalyptic number.

147828240 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 147828240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293478240).

147828240 is an abundant number, since it is smaller than the sum of its proper divisors (439128240).

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

147828240 is a wasteful number, since it uses less digits than its factorization.

147828240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3291 (or 3276 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 147828240 is about 12158.4637187434. The cubic root of 147828240 is about 528.7525426164.

The spelling of 147828240 in words is "one hundred forty-seven million, eight hundred twenty-eight thousand, two hundred forty".