15428874240 has 624 divisors, whose sum is σ = 59248844928. Its totient is φ = 3689938944.

The previous prime is 15428874187. The next prime is 15428874257. The reversal of 15428874240 is 4247882451.

15428874240 = T₄₂₉ + T₄₃₀ + ... + T₄₅₂₄.

15428874240 is a `hidden beast` number, since 1 + 542 + 8 + 87 + 4 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112619452 + ... + 112619588.

It is an arithmetic number, because the mean of its divisors is an integer number (94950072).

Almost surely, 2^15428874240 is an apocalyptic number.

15428874240 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 15428874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29624422464).

15428874240 is an abundant number, since it is smaller than the sum of its proper divisors (43819970688).

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

15428874240 is a wasteful number, since it uses less digits than its factorization.

15428874240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 207 counting only the distinct ones).

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

The spelling of 15428874240 in words is "fifteen billion, four hundred twenty-eight million, eight hundred seventy-four thousand, two hundred forty".