87428154240 has 768 divisors, whose sum is σ = 359891251200. Its totient is φ = 19136839680.

The previous prime is 87428154239. The next prime is 87428154283. The reversal of 87428154240 is 4245182478.

87428154240 is a `hidden beast` number, since 87 + 4 + 28 + 1 + 542 + 4 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 141240651 + ... + 141241269.

It is an arithmetic number, because the mean of its divisors is an integer number (468608400).

Almost surely, 2^87428154240 is an apocalyptic number.

87428154240 is a gapful number since it is divisible by the number (80) 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 87428154240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179945625600).

87428154240 is an abundant number, since it is smaller than the sum of its proper divisors (272463096960).

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

87428154240 is a wasteful number, since it uses less digits than its factorization.

87428154240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 87428154240 in words is "eighty-seven billion, four hundred twenty-eight million, one hundred fifty-four thousand, two hundred forty".