157628880 has 240 divisors, whose sum is σ = 558287184. Its totient is φ = 39813120.

The previous prime is 157628873. The next prime is 157628881. The reversal of 157628880 is 88826751.

157628880 is a `hidden beast` number, since 15 + 7 + 628 + 8 + 8 + 0 = 666.

157628880 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 8 ways, for example, as 4562496 + 153066384 = 2136^2 + 12372^2 .

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157628881) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1624992 + ... + 1625088.

Almost surely, 2^157628880 is an apocalyptic number.

157628880 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 157628880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279143592).

157628880 is an abundant number, since it is smaller than the sum of its proper divisors (400658304).

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

157628880 is a wasteful number, since it uses less digits than its factorization.

157628880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 157628880 is about 12555.0340501330. The cubic root of 157628880 is about 540.1884116198.

It can be divided in two parts, 15762 and 8880, that added together give a palindrome (24642).

The spelling of 157628880 in words is "one hundred fifty-seven million, six hundred twenty-eight thousand, eight hundred eighty".